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97285032 = 233213234519
BaseRepresentation
bin1011100110001…
…11001110101000
320210001120222100
411303013032220
5144401110112
613353053400
72260623555
oct563071650
9223046870
1097285032
114aa07759
12286b7260
1317202b10
14ccc5a2c
15881a2dc
hex5cc73a8

97285032 has 96 divisors (see below), whose sum is σ = 296150400. Its totient is φ = 28626048.

The previous prime is 97285031. The next prime is 97285039. The reversal of 97285032 is 23058279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (97285031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19269 + ... + 23787.

It is an arithmetic number, because the mean of its divisors is an integer number (3084900).

Almost surely, 297285032 is an apocalyptic number.

97285032 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97285032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148075200).

97285032 is an abundant number, since it is smaller than the sum of its proper divisors (198865368).

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

97285032 is a wasteful number, since it uses less digits than its factorization.

97285032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 97285032 is about 9863.3174946364. The cubic root of 97285032 is about 459.9196961268.

The spelling of 97285032 in words is "ninety-seven million, two hundred eighty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3588 4519 5382 7176 9038 10764 13557 18076 21528 27114 36152 40671 54228 58747 81342 103937 108456 117494 162684 176241 207874 234988 311811 325368 352482 415748 469976 528723 623622 704964 831496 935433 1057446 1247244 1351181 1409928 1870866 2114892 2494488 2702362 3741732 4053543 4229784 5404724 7483464 8107086 10809448 12160629 16214172 24321258 32428344 48642516 97285032