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401283392 = 26231312081
BaseRepresentation
bin10111111010110…
…001100101000000
31000222002022022212
4113322301211000
51310212032032
6103452521252
712641565266
oct2772614500
91028068285
10401283392
11196572174
12b2480228
13651a07c3
143b41a436
1525368bb2
hex17eb1940

401283392 has 56 divisors (see below), whose sum is σ = 837663552. Its totient is φ = 190361600.

The previous prime is 401283349. The next prime is 401283433. The reversal of 401283392 is 293382104.

It is a happy number.

It is a super-2 number, since 2×4012833922 = 322056721390051328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191792 + ... + 193872.

Almost surely, 2401283392 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 401283392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418831776).

401283392 is an abundant number, since it is smaller than the sum of its proper divisors (436380160).

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

401283392 is a wasteful number, since it uses less digits than its factorization.

401283392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 401283392 is about 20032.0591053441. The cubic root of 401283392 is about 737.5934678818.

The spelling of 401283392 in words is "four hundred one million, two hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 131 184 262 368 524 736 1048 1472 2081 2096 3013 4162 4192 6026 8324 8384 12052 16648 24104 33296 47863 48208 66592 95726 96416 133184 191452 192832 272611 382904 545222 765808 1090444 1531616 2180888 3063232 4361776 6270053 8723552 12540106 17447104 25080212 50160424 100320848 200641696 401283392