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472105400 = 2352131071697
BaseRepresentation
bin11100001000111…
…100000110111000
31012220100102212012
4130020330012320
51431324333100
6114502505052
714461554404
oct3410740670
91186312765
10472105400
11222544858
12112135188
1376a69510
14469b4104
152b6a8135
hex1c23c1b8

472105400 has 96 divisors (see below), whose sum is σ = 1193829840. Its totient is φ = 172584960.

The previous prime is 472105399. The next prime is 472105423. The reversal of 472105400 is 4501274.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277352 + ... + 279048.

Almost surely, 2472105400 is an apocalyptic number.

472105400 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 472105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596914920).

472105400 is an abundant number, since it is smaller than the sum of its proper divisors (721724440).

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

472105400 is a wasteful number, since it uses less digits than its factorization.

472105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 472105400 is about 21727.9865611151. The cubic root of 472105400 is about 778.6572339209.

Adding to 472105400 its reverse (4501274), we get a palindrome (476606674).

The spelling of 472105400 in words is "four hundred seventy-two million, one hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 107 130 200 214 260 325 428 520 535 650 856 1070 1300 1391 1697 2140 2600 2675 2782 3394 4280 5350 5564 6788 6955 8485 10700 11128 13576 13910 16970 21400 22061 27820 33940 34775 42425 44122 55640 67880 69550 84850 88244 110305 139100 169700 176488 181579 220610 278200 339400 363158 441220 551525 726316 882440 907895 1103050 1452632 1815790 2206100 2360527 3631580 4412200 4539475 4721054 7263160 9078950 9442108 11802635 18157900 18884216 23605270 36315800 47210540 59013175 94421080 118026350 236052700 472105400