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157711464 = 233237531117
BaseRepresentation
bin10010110011001…
…11110001101000
3101222202120110100
421121213301220
5310333231324
623352145400
73623345121
oct1131476150
9358676410
10157711464
1181029a59
1244998260
132689bbc1
1416d35048
15dca44c9
hex9667c68

157711464 has 96 divisors (see below), whose sum is σ = 447356520. Its totient is φ = 50139648.

The previous prime is 157711459. The next prime is 157711481. The reversal of 157711464 is 464117751.

157711464 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 140422500 + 17288964 = 11850^2 + 4158^2 .

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, 140634 + ... + 141750.

Almost surely, 2157711464 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 157711464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223678260).

157711464 is an abundant number, since it is smaller than the sum of its proper divisors (289645056).

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

157711464 is a wasteful number, since it uses less digits than its factorization.

157711464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1212 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 157711464 is about 12558.3224994424. The cubic root of 157711464 is about 540.2827325998.

It can be divided in two parts, 1577 and 11464, that added together give a triangular number (13041 = T161).

The spelling of 157711464 in words is "one hundred fifty-seven million, seven hundred eleven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 53 72 74 106 111 148 159 212 222 296 318 333 424 444 477 636 666 888 954 1117 1272 1332 1908 1961 2234 2664 3351 3816 3922 4468 5883 6702 7844 8936 10053 11766 13404 15688 17649 20106 23532 26808 35298 40212 41329 47064 59201 70596 80424 82658 118402 123987 141192 165316 177603 236804 247974 330632 355206 371961 473608 495948 532809 710412 743922 991896 1065618 1420824 1487844 2131236 2190437 2975688 4262472 4380874 6571311 8761748 13142622 17523496 19713933 26285244 39427866 52570488 78855732 157711464