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157389786 = 23229237281
BaseRepresentation
bin10010110000110…
…01001111011010
3101222011020012100
421120121033122
5310242433121
623341224230
73620535231
oct1130311732
9358136170
10157389786
118092a304
1244862076
13267b8668
1416c8db18
15dc3e026
hex96193da

157389786 has 72 divisors (see below), whose sum is σ = 364011804. Its totient is φ = 49109760.

The previous prime is 157389773. The next prime is 157389797. The reversal of 157389786 is 687983751.

157389786 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 128391561 + 28998225 = 11331^2 + 5385^2 .

Its product of digits (2540160) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 559966 + ... + 560246.

Almost surely, 2157389786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157389786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182005902).

157389786 is an abundant number, since it is smaller than the sum of its proper divisors (206622018).

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

157389786 is a wasteful number, since it uses less digits than its factorization.

157389786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 352 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 157389786 is about 12545.5085986978. The cubic root of 157389786 is about 539.9151512777.

The spelling of 157389786 in words is "one hundred fifty-seven million, three hundred eighty-nine thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 281 333 522 562 666 841 843 1073 1682 1686 2146 2523 2529 3219 5046 5058 6438 7569 8149 9657 10397 15138 16298 19314 20794 24447 31117 31191 48894 62234 62382 73341 93351 93573 146682 186702 187146 236321 280053 301513 472642 560106 603026 708963 904539 1417926 1809078 2126889 2713617 4253778 5427234 8743877 17487754 26231631 52463262 78694893 157389786