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97452288 = 283323613
BaseRepresentation
bin1011100111100…
…00000100000000
320210101002102000
411303300010000
5144421433123
613400424000
72262221313
oct563600400
9223332360
1097452288
115001138a
1228778000
1317260c9b
14cd2a97a
15884eb43
hex5cf0100

97452288 has 144 divisors (see below), whose sum is σ = 301203840. Its totient is φ = 31021056.

The previous prime is 97452287. The next prime is 97452331. The reversal of 97452288 is 88225479.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (97452281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158670 + ... + 159282.

Almost surely, 297452288 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 97452288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150601920).

97452288 is an abundant number, since it is smaller than the sum of its proper divisors (203751552).

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

97452288 is a wasteful number, since it uses less digits than its factorization.

97452288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 97452288 is about 9871.7925423907. The cubic root of 97452288 is about 460.1831155020.

The spelling of 97452288 in words is "ninety-seven million, four hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 613 621 736 768 828 864 1104 1152 1226 1242 1472 1656 1728 1839 2208 2304 2452 2484 2944 3312 3456 3678 4416 4904 4968 5517 5888 6624 6912 7356 8832 9808 9936 11034 13248 14099 14712 16551 17664 19616 19872 22068 26496 28198 29424 33102 39232 39744 42297 44136 52992 56396 58848 66204 78464 79488 84594 88272 112792 117696 126891 132408 156928 158976 169188 176544 225584 235392 253782 264816 338376 353088 380673 451168 470784 507564 529632 676752 706176 761346 902336 1015128 1059264 1353504 1412352 1522692 1804672 2030256 2118528 2707008 3045384 3609344 4060512 4237056 5414016 6090768 8121024 10828032 12181536 16242048 24363072 32484096 48726144 97452288