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97538532 = 223713179499
BaseRepresentation
bin1011101000001…
…01000111100100
320210112110201020
411310011013210
5144432213112
613402331140
72263030620
oct564050744
9223473636
1097538532
1150070163
12287b9ab0
1317291310
14cd50180
15886a48c
hex5d051e4

97538532 has 96 divisors (see below), whose sum is σ = 282240000. Its totient is φ = 25529472.

The previous prime is 97538509. The next prime is 97538557. The reversal of 97538532 is 23583579.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195219 + ... + 195717.

It is an arithmetic number, because the mean of its divisors is an integer number (2940000).

Almost surely, 297538532 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 97538532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120000).

97538532 is an abundant number, since it is smaller than the sum of its proper divisors (184701468).

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

97538532 is a wasteful number, since it uses less digits than its factorization.

97538532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 703 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 97538532 is about 9876.1597799955. The cubic root of 97538532 is about 460.3188274878.

The spelling of 97538532 in words is "ninety-seven million, five hundred thirty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 179 182 273 358 364 499 537 546 716 998 1074 1092 1253 1497 1996 2148 2327 2506 2994 3493 3759 4654 5012 5988 6487 6981 6986 7518 9308 10479 12974 13962 13972 15036 16289 19461 20958 25948 27924 32578 38922 41916 45409 48867 65156 77844 89321 90818 97734 136227 178642 181636 195468 267963 272454 357284 535926 544908 625247 1071852 1161173 1250494 1875741 2322346 2500988 3483519 3751482 4644692 6967038 7502964 8128211 13934076 16256422 24384633 32512844 48769266 97538532