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158407396 = 2272292312
BaseRepresentation
bin10010111000100…
…01101011100100
3102001001221002121
421130101223210
5311023014041
623415115324
73632304100
oct1134215344
9361057077
10158407396
1181464904
1245072b44
1326a838b4
1417076900
15dd907d1
hex9711ae4

158407396 has 81 divisors (see below), whose sum is σ = 345096297. Its totient is φ = 63433440.

The previous prime is 158407393. The next prime is 158407429. The reversal of 158407396 is 693704851.

The square root of 158407396 is 12586.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83064996 + 75342400 = 9114^2 + 8680^2 .

It is not an unprimeable number, because it can be changed into a prime (158407393) 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 26 ways as a sum of consecutive naturals, for example, 5109901 + ... + 5109931.

Almost surely, 2158407396 is an apocalyptic number.

158407396 is the 12586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158407396

158407396 is an abundant number, since it is smaller than the sum of its proper divisors (186688901).

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

158407396 is a wasteful number, since it uses less digits than its factorization.

158407396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The cubic root of 158407396 is about 541.0762668334.

The spelling of 158407396 in words is "one hundred fifty-eight million, four hundred seven thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 29 31 49 58 62 98 116 124 196 203 217 406 434 812 841 868 899 961 1421 1519 1682 1798 1922 2842 3038 3364 3596 3844 5684 5887 6076 6293 6727 11774 12586 13454 23548 25172 26071 26908 27869 41209 44051 47089 52142 55738 82418 88102 94178 104284 111476 164836 176204 182497 188356 195083 364994 390166 729988 780332 808201 1277479 1365581 1616402 2554958 2731162 3232804 5109916 5462324 5657407 11314814 22629628 39601849 79203698 158407396