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157574406 = 231153107421
BaseRepresentation
bin10010110010001…
…10010100000110
3101222111121110010
421121012110012
5310314340111
623345211050
73622234413
oct1131062406
9358447403
10157574406
1180a45a90
1244930a86
13268516c2
1416cdb10a
15dc78aa6
hex9646506

157574406 has 64 divisors (see below), whose sum is σ = 354398976. Its totient is φ = 46300800.

The previous prime is 157574399. The next prime is 157574423. The reversal of 157574406 is 604475751.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 374076 + ... + 374496.

It is an arithmetic number, because the mean of its divisors is an integer number (5537484).

Almost surely, 2157574406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157574406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177199488).

157574406 is an abundant number, since it is smaller than the sum of its proper divisors (196824570).

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

157574406 is a wasteful number, since it uses less digits than its factorization.

157574406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597.

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 157574406 is about 12552.8644539802. The cubic root of 157574406 is about 540.1261776478.

The spelling of 157574406 in words is "one hundred fifty-seven million, five hundred seventy-four thousand, four hundred six".

Divisors: 1 2 3 6 11 22 33 53 66 106 107 159 214 318 321 421 583 642 842 1166 1177 1263 1749 2354 2526 3498 3531 4631 5671 7062 9262 11342 13893 17013 22313 27786 34026 44626 45047 62381 66939 90094 124762 133878 135141 187143 245443 270282 374286 490886 495517 736329 991034 1472658 1486551 2387491 2973102 4774982 7162473 14324946 26262401 52524802 78787203 157574406