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152379344 = 24135711283
BaseRepresentation
bin10010001010100…
…01111111010000
3101121201200011102
421011101333100
5303002114334
623042003532
73530126435
oct1105217720
9347650142
10152379344
1179017947
12430465a8
1325752bc0
1416347b8c
15d59e67e
hex9151fd0

152379344 has 40 divisors (see below), whose sum is σ = 318750432. Its totient is φ = 70151040.

The previous prime is 152379289. The next prime is 152379361. The reversal of 152379344 is 443973251.

It is a junction number, because it is equal to n+sod(n) for n = 152379298 and 152379307.

It is a congruent number.

It is an unprimeable number.

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, 118127 + ... + 119409.

Almost surely, 2152379344 is an apocalyptic number.

It is an amenable number.

152379344 is an abundant number, since it is smaller than the sum of its proper divisors (166371088).

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

152379344 is a wasteful number, since it uses less digits than its factorization.

152379344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1869 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 152379344 is about 12344.2028499211. The cubic root of 152379344 is about 534.1239267802.

The spelling of 152379344 in words is "one hundred fifty-two million, three hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 571 1142 1283 2284 2566 4568 5132 7423 9136 10264 14846 16679 20528 29692 33358 59384 66716 118768 133432 266864 732593 1465186 2930372 5860744 9523709 11721488 19047418 38094836 76189672 152379344