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157389648 = 24313534759
BaseRepresentation
bin10010110000110…
…01001101010000
3101222011020000020
421120121031100
5310242432043
623341223440
73620534643
oct1130311520
9358136006
10157389648
118092a199
1244861b80
13267b8590
1416c8da5a
15dc3de83
hex9619350

157389648 has 80 divisors (see below), whose sum is σ = 446221440. Its totient is φ = 47503872.

The previous prime is 157389623. The next prime is 157389649. The reversal of 157389648 is 846983751.

It is a super-3 number, since 3×1573896483 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157389648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157389649) 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 15 ways as a sum of consecutive naturals, for example, 30693 + ... + 35451.

It is an arithmetic number, because the mean of its divisors is an integer number (5577768).

Almost surely, 2157389648 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 157389648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223110720).

157389648 is an abundant number, since it is smaller than the sum of its proper divisors (288831792).

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

157389648 is a wasteful number, since it uses less digits than its factorization.

157389648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4830 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 157389648 is about 12545.5030987203. The cubic root of 157389648 is about 539.9149934777.

The spelling of 157389648 in words is "one hundred fifty-seven million, three hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 2067 2544 2756 4134 4759 5512 8268 9518 11024 14277 16536 19036 28554 33072 38072 57108 61867 76144 114216 123734 185601 228432 247468 252227 371202 494936 504454 742404 756681 989872 1008908 1484808 1513362 2017816 2969616 3026724 3278951 4035632 6053448 6557902 9836853 12106896 13115804 19673706 26231608 39347412 52463216 78694824 157389648