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156406464 = 263589113
BaseRepresentation
bin10010101001010…
…01001011000000
3101220022021100000
421110221023000
5310020001324
623304200000
73606301344
oct1124511300
9356267300
10156406464
1180318545
1244469000
1326532c06
1416ab5624
15dae79c9
hex95292c0

156406464 has 168 divisors, whose sum is σ = 474299280. Its totient is φ = 51093504.

The previous prime is 156406457. The next prime is 156406489. The reversal of 156406464 is 464604651.

156406464 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 0 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384072 + ... + 1384184.

It is an arithmetic number, because the mean of its divisors is an integer number (2823210).

Almost surely, 2156406464 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 156406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237149640).

156406464 is an abundant number, since it is smaller than the sum of its proper divisors (317892816).

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

156406464 is an equidigital number, since it uses as much as digits as its factorization.

156406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 156406464 is about 12506.2569940010. The cubic root of 156406464 is about 538.7883946489.

The spelling of 156406464 in words is "one hundred fifty-six million, four hundred six thousand, four hundred sixty-four".