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157025792 = 297211569
BaseRepresentation
bin10010101110000…
…00011000000000
3101221110201220002
421113000120000
5310144311132
623325335132
73614461100
oct1127003000
9357421802
10157025792
1180700890
12447074a8
13266bba91
1416bd7200
15dbbb262
hex95c0600

157025792 has 120 divisors (see below), whose sum is σ = 398847240. Its totient is φ = 61071360.

The previous prime is 157025789. The next prime is 157025797. The reversal of 157025792 is 297520751.

157025792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157025797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275684 + ... + 276252.

It is an arithmetic number, because the mean of its divisors is an integer number (3323727).

Almost surely, 2157025792 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 157025792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199423620).

157025792 is an abundant number, since it is smaller than the sum of its proper divisors (241821448).

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

157025792 is an equidigital number, since it uses as much as digits as its factorization.

157025792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The square root of 157025792 is about 12530.9932567215. The cubic root of 157025792 is about 539.4986109656.

The spelling of 157025792 in words is "one hundred fifty-seven million, twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 512 539 569 616 704 784 896 1078 1138 1232 1408 1568 1792 2156 2276 2464 2816 3136 3584 3983 4312 4552 4928 5632 6259 6272 7966 8624 9104 9856 12518 12544 15932 17248 18208 19712 25036 25088 27881 31864 34496 36416 39424 43813 50072 55762 63728 68992 72832 87626 100144 111524 127456 137984 145664 175252 200288 223048 254912 275968 291328 306691 350504 400576 446096 509824 613382 701008 801152 892192 1019648 1226764 1402016 1602304 1784384 2039296 2453528 2804032 3204608 3568768 4907056 5608064 7137536 9814112 11216128 14275072 19628224 22432256 39256448 78512896 157025792