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157387428 = 223311177793
BaseRepresentation
bin10010110000110…
…00101010100100
3101222011002222000
421120120222210
5310242344203
623341205300
73620525322
oct1130305244
9358132860
10157387428
1180928560
1244860830
13267b7573
1416c8cd12
15dc3d4a3
hex9618aa4

157387428 has 96 divisors (see below), whose sum is σ = 471381120. Its totient is φ = 44881920.

The previous prime is 157387427. The next prime is 157387429. The reversal of 157387428 is 824783751.

157387428 is a `hidden beast` number, since 1 + 573 + 8 + 74 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (157387427) and next prime (157387429).

It is not an unprimeable number, because it can be changed into a prime (157387423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16300 + ... + 24092.

It is an arithmetic number, because the mean of its divisors is an integer number (4910220).

Almost surely, 2157387428 is an apocalyptic number.

157387428 is a gapful number since it is divisible by the number (18) 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 157387428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235690560).

157387428 is an abundant number, since it is smaller than the sum of its proper divisors (313993692).

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

157387428 is a wasteful number, since it uses less digits than its factorization.

157387428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7834 (or 7826 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 157387428 is about 12545.4146204898. The cubic root of 157387428 is about 539.9124549437.

The spelling of 157387428 in words is "one hundred fifty-seven million, three hundred eighty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 7793 10098 15586 20196 23379 31172 46758 70137 85723 93516 132481 140274 171446 210411 257169 264962 280548 342892 397443 420822 514338 529924 771507 794886 841644 1028676 1192329 1457291 1543014 1589772 2314521 2384658 2914582 3086028 3576987 4371873 4629042 4769316 5829164 7153974 8743746 9258084 13115619 14307948 17487492 26231238 39346857 52462476 78693714 157387428