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157750272 = 2103217117
BaseRepresentation
bin10010110011100…
…01010000000000
3101222211112200200
421121301100000
5310341002042
623353045200
73623566221
oct1131612000
9358745620
10157750272
1181056129
12449b6800
13268b3774
1416d45248
15dcb0c4c
hex9671400

157750272 has 66 divisors (see below), whose sum is σ = 455527098. Its totient is φ = 52580352.

The previous prime is 157750267. The next prime is 157750349. The reversal of 157750272 is 272057751.

157750272 is a `hidden beast` number, since 15 + 77 + 502 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81432576 + 76317696 = 9024^2 + 8736^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 658 + ... + 17774.

Almost surely, 2157750272 is an apocalyptic number.

157750272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157750272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227763549).

157750272 is an abundant number, since it is smaller than the sum of its proper divisors (297776826).

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

157750272 is a wasteful number, since it uses less digits than its factorization.

157750272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17143 (or 17122 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 157750272 is about 12559.8675152248. The cubic root of 157750272 is about 540.3270446876.

The spelling of 157750272 in words is "one hundred fifty-seven million, seven hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 17117 34234 51351 68468 102702 136936 154053 205404 273872 308106 410808 547744 616212 821616 1095488 1232424 1643232 2190976 2464848 3286464 4381952 4929696 6572928 8763904 9859392 13145856 17527808 19718784 26291712 39437568 52583424 78875136 157750272