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157995744 = 2532416829
BaseRepresentation
bin10010110101011…
…01001011100000
3102000022000102020
421122231023200
5310421330434
623402221440
73625640664
oct1132551340
9360260366
10157995744
11812035a5
1244ab4880
132696b40a
1416daa8a4
15dd0d849
hex96ad2e0

157995744 has 48 divisors (see below), whose sum is σ = 416520720. Its totient is φ = 52439040.

The previous prime is 157995727. The next prime is 157995749. The reversal of 157995744 is 447599751.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1579957442 = 49925310244227072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157995749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19722 + ... + 26550.

It is an arithmetic number, because the mean of its divisors is an integer number (8677515).

Almost surely, 2157995744 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 157995744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208260360).

157995744 is an abundant number, since it is smaller than the sum of its proper divisors (258524976).

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

157995744 is a wasteful number, since it uses less digits than its factorization.

157995744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7083 (or 7075 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 51.

The square root of 157995744 is about 12569.6357942464. The cubic root of 157995744 is about 540.6071634286.

The spelling of 157995744 in words is "one hundred fifty-seven million, nine hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 482 723 964 1446 1928 2892 3856 5784 6829 7712 11568 13658 20487 23136 27316 40974 54632 81948 109264 163896 218528 327792 655584 1645789 3291578 4937367 6583156 9874734 13166312 19749468 26332624 39498936 52665248 78997872 157995744