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157982448 = 24313318167
BaseRepresentation
bin10010110101010…
…01111011110000
3102000021100011210
421122221323300
5310420414243
623402040120
73625554141
oct1132517360
9360240153
10157982448
11811a4608
1244aa9040
1326965350
1416da5ac8
15dd09933
hex96a9ef0

157982448 has 80 divisors (see below), whose sum is σ = 453748736. Its totient is φ = 47036160.

The previous prime is 157982443. The next prime is 157982527. The reversal of 157982448 is 844289751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 157982397 and 157982406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157982441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15261 + ... + 23427.

Almost surely, 2157982448 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 157982448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226874368).

157982448 is an abundant number, since it is smaller than the sum of its proper divisors (295766288).

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

157982448 is a wasteful number, since it uses less digits than its factorization.

157982448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222 (or 8216 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 157982448 is about 12569.1068895129. The cubic root of 157982448 is about 540.5919982216.

The spelling of 157982448 in words is "one hundred fifty-seven million, nine hundred eighty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 8167 9672 16334 19344 24501 32668 49002 65336 98004 106171 130672 196008 212342 253177 318513 392016 424684 506354 637026 759531 849368 1012708 1274052 1519062 1698736 2025416 2548104 3038124 3291301 4050832 5096208 6076248 6582602 9873903 12152496 13165204 19747806 26330408 39495612 52660816 78991224 157982448