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400000212450 = 232521916477193
BaseRepresentation
bin1011101001000011101…
…11101101110111100010
31102020110200222011102100
411310201313231313202
523023200023244300
6503431344431230
740620243464256
oct5644167556742
91366420864370
10400000212450
11144703767a83
1265633318516
132b9486b3c57
141550821a266
15a61193b700
hex5d21dedde2

400000212450 has 144 divisors (see below), whose sum is σ = 1082113883136. Its totient is φ = 105929529600.

The previous prime is 400000212433. The next prime is 400000212467. The reversal of 400000212450 is 54212000004.

400000212450 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 0 + 0 + 212 + 450 = 666.

It is an interprime number because it is at equal distance from previous prime (400000212433) and next prime (400000212467).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55606054 + ... + 55613246.

It is an arithmetic number, because the mean of its divisors is an integer number (7514679744).

Almost surely, 2400000212450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400000212450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541056941568).

400000212450 is an abundant number, since it is smaller than the sum of its proper divisors (682113670686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400000212450 is a wasteful number, since it uses less digits than its factorization.

400000212450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 400000212450 its reverse (54212000004), we get a palindrome (454212212454).

The spelling of 400000212450 in words is "four hundred billion, two hundred twelve thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 191 225 382 450 573 647 955 1146 1294 1719 1910 1941 2865 3235 3438 3882 4775 5730 5823 6470 7193 8595 9550 9705 11646 14325 14386 16175 17190 19410 21579 28650 29115 32350 35965 42975 43158 48525 58230 64737 71930 85950 97050 107895 123577 129474 145575 179825 215790 247154 291150 323685 359650 370731 539475 617885 647370 741462 1078950 1112193 1235770 1373863 1618425 1853655 2224386 2747726 3089425 3236850 3707310 4121589 4653871 5560965 6178850 6869315 8243178 9268275 9307742 11121930 12364767 13738630 13961613 18536550 20607945 23269355 24729534 27804825 27923226 34346575 41215890 41884839 46538710 55609650 61823835 68693150 69808065 83769678 103039725 116346775 123647670 139616130 206079450 209424195 232693550 309119175 349040325 418848390 618238350 698080650 888889361 1047120975 1777778722 2094241950 2666668083 4444446805 5333336166 8000004249 8888893610 13333340415 16000008498 22222234025 26666680830 40000021245 44444468050 66666702075 80000042490 133333404150 200000106225 400000212450