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157464528 = 24313277911
BaseRepresentation
bin10010110001010…
…11011111010000
3101222022000201120
421120223133100
5310302331103
623343002240
73621266154
oct1130533720
9358260646
10157464528
1180980481
1244899380
13268136a0
1416cad064
15dc56253
hex962b7d0

157464528 has 80 divisors (see below), whose sum is σ = 440138496. Its totient is φ = 48222720.

The previous prime is 157464499. The next prime is 157464547. The reversal of 157464528 is 825464751.

It is a happy number.

157464528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 157464528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172393 + ... + 173303.

Almost surely, 2157464528 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 157464528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220069248).

157464528 is an abundant number, since it is smaller than the sum of its proper divisors (282673968).

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

157464528 is a wasteful number, since it uses less digits than its factorization.

157464528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1206 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 157464528 is about 12548.4870801224. The cubic root of 157464528 is about 540.0006035659. Note that the first 3 decimals are identical.

The spelling of 157464528 in words is "one hundred fifty-seven million, four hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 277 312 554 624 831 911 1108 1662 1822 2216 2733 3324 3601 3644 4432 5466 6648 7202 7288 10803 10932 11843 13296 14404 14576 21606 21864 23686 28808 35529 43212 43728 47372 57616 71058 86424 94744 142116 172848 189488 252347 284232 504694 568464 757041 1009388 1514082 2018776 3028164 3280511 4037552 6056328 6561022 9841533 12112656 13122044 19683066 26244088 39366132 52488176 78732264 157464528