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421950480 = 243571913219
BaseRepresentation
bin11001001001100…
…111010000010000
31002101222022020120
4121021213100100
51331004403410
6105511510240
713312343220
oct3111472020
91071868216
10421950480
111a71a8706
12b9388380
1369558753
144007a080
152709c570
hex19267410

421950480 has 160 divisors (see below), whose sum is σ = 1573708800. Its totient is φ = 91362816.

The previous prime is 421950469. The next prime is 421950491. The reversal of 421950480 is 84059124.

It is an interprime number because it is at equal distance from previous prime (421950469) and next prime (421950491).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25311 + ... + 38529.

It is an arithmetic number, because the mean of its divisors is an integer number (9835680).

Almost surely, 2421950480 is an apocalyptic number.

421950480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421950480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786854400).

421950480 is an abundant number, since it is smaller than the sum of its proper divisors (1151758320).

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

421950480 is a wasteful number, since it uses less digits than its factorization.

421950480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261 (or 13255 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 421950480 is about 20541.4332508713. The cubic root of 421950480 is about 750.0447262216.

The spelling of 421950480 in words is "four hundred twenty-one million, nine hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 13219 15960 26438 31920 39657 52876 66095 79314 92533 105752 132190 158628 185066 198285 211504 251161 264380 277599 317256 370132 396570 462665 502322 528760 555198 634512 740264 753483 793140 925330 1004644 1057520 1110396 1255805 1387995 1480528 1506966 1586280 1758127 1850660 2009288 2220792 2511610 2775990 3013932 3172560 3516254 3701320 3767415 4018576 4441584 5023220 5274381 5551980 6027864 7032508 7402640 7534830 8790635 10046440 10548762 11103960 12055728 14065016 15069660 17581270 20092880 21097524 22207920 26371905 28130032 30139320 35162540 42195048 52743810 60278640 70325080 84390096 105487620 140650160 210975240 421950480