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157239628 = 227213247101
BaseRepresentation
bin10010101111101…
…00100101001100
3101221212121012221
421113310211030
5310223132003
623334105124
73616341400
oct1127644514
9357777187
10157239628
1180837507
12447ab1a4
1326765200
1416c51100
15dc0e7bd
hex95f494c

157239628 has 108 divisors (see below), whose sum is σ = 357491232. Its totient is φ = 60278400.

The previous prime is 157239623. The next prime is 157239629. The reversal of 157239628 is 826932751.

157239628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1572396282 = 49448601227156768, which contains 22 as substring.

Its product of digits (181440) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157239623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1556778 + ... + 1556878.

It is an arithmetic number, because the mean of its divisors is an integer number (3310104).

Almost surely, 2157239628 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 157239628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178745616).

157239628 is an abundant number, since it is smaller than the sum of its proper divisors (200251604).

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

157239628 is a wasteful number, since it uses less digits than its factorization.

157239628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

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

The square root of 157239628 is about 12539.5226384420. The cubic root of 157239628 is about 539.7433943137.

The spelling of 157239628 in words is "one hundred fifty-seven million, two hundred thirty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 47 49 52 91 94 98 101 169 182 188 196 202 329 338 364 404 611 637 658 676 707 1183 1222 1274 1313 1316 1414 2303 2366 2444 2548 2626 2828 4277 4606 4732 4747 4949 5252 7943 8281 8554 9191 9212 9494 9898 15886 16562 17069 17108 18382 18988 19796 29939 31772 33124 33229 34138 36764 55601 59878 61711 64337 66458 68276 111202 119483 119756 123422 128674 132916 222404 232603 238966 246844 257348 389207 431977 465206 477932 778414 802243 836381 863954 930412 1556828 1604486 1672762 1727908 3023839 3208972 3345524 5615701 6047678 11231402 12095356 22462804 39309907 78619814 157239628