Search a number
-
+
97927056 = 243589283
BaseRepresentation
bin1011101011000…
…11111110010000
320211021012200000
411311203332100
5200032131211
613414530000
72266236423
oct565437620
9224235600
1097927056
1150306057
1228966900
1317399106
14d0119ba
1588e5656
hex5d63f90

97927056 has 120 divisors (see below), whose sum is σ = 288419040. Its totient is φ = 32161536.

The previous prime is 97927013. The next prime is 97927061. The reversal of 97927056 is 65072979.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345891 + ... + 346173.

It is an arithmetic number, because the mean of its divisors is an integer number (2403492).

Almost surely, 297927056 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 97927056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144209520).

97927056 is an abundant number, since it is smaller than the sum of its proper divisors (190491984).

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

97927056 is a wasteful number, since it uses less digits than its factorization.

97927056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 97927056 is about 9895.8100224287. The cubic root of 97927056 is about 460.9292118115.

The spelling of 97927056 in words is "ninety-seven million, nine hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 243 267 283 324 356 432 486 534 566 648 712 801 849 972 1068 1132 1296 1424 1602 1698 1944 2136 2264 2403 2547 3204 3396 3888 4272 4528 4806 5094 6408 6792 7209 7641 9612 10188 12816 13584 14418 15282 19224 20376 21627 22923 25187 28836 30564 38448 40752 43254 45846 50374 57672 61128 68769 75561 86508 91692 100748 115344 122256 137538 151122 173016 183384 201496 226683 275076 302244 346032 366768 402992 453366 550152 604488 680049 906732 1100304 1208976 1360098 1813464 2040147 2720196 3626928 4080294 5440392 6120441 8160588 10880784 12240882 16321176 24481764 32642352 48963528 97927056