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472405792 = 25171038431
BaseRepresentation
bin11100001010000…
…101011100100000
31012220220200220211
4130022011130200
51431413441132
6114513143504
714464245235
oct3412053440
91186820824
10472405792
1122272a511
1211225ab94
1376b43171
1446a5178c
152b717147
hex1c285720

472405792 has 48 divisors (see below), whose sum is σ = 994436352. Its totient is φ = 220124160.

The previous prime is 472405771. The next prime is 472405793. The reversal of 472405792 is 297504274.

It is not an unprimeable number, because it can be changed into a prime (472405793) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51817 + ... + 60247.

It is an arithmetic number, because the mean of its divisors is an integer number (20717424).

Almost surely, 2472405792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472405792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497218176).

472405792 is an abundant number, since it is smaller than the sum of its proper divisors (522030560).

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

472405792 is a wasteful number, since it uses less digits than its factorization.

472405792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 472405792 is about 21734.8980213849. The cubic root of 472405792 is about 778.8223473413.

The spelling of 472405792 in words is "four hundred seventy-two million, four hundred five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 68 103 136 206 272 412 544 824 1648 1751 3296 3502 7004 8431 14008 16862 28016 33724 56032 67448 134896 143327 269792 286654 573308 868393 1146616 1736786 2293232 3473572 4586464 6947144 13894288 14762681 27788576 29525362 59050724 118101448 236202896 472405792