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99575352 = 23331921277
BaseRepresentation
bin1011110111101…
…10011000111000
320221100221201000
411323312120320
5200442402402
613514125000
72316243102
oct573663070
9227327630
1099575352
1151231488
1229420760
1317825436
14d320572
158b1dc1c
hex5ef6638

99575352 has 96 divisors (see below), whose sum is σ = 292150800. Its totient is φ = 31420224.

The previous prime is 99575351. The next prime is 99575369. The reversal of 99575352 is 25357599.

It is a junction number, because it is equal to n+sod(n) for n = 99575298 and 99575307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99575351) 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, 77338 + ... + 78614.

Almost surely, 299575352 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 99575352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146075400).

99575352 is an abundant number, since it is smaller than the sum of its proper divisors (192575448).

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

99575352 is a wasteful number, since it uses less digits than its factorization.

99575352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1301 counting only the distinct ones).

The product of its digits is 425250, while the sum is 45.

The square root of 99575352 is about 9978.7450112727. The cubic root of 99575352 is about 463.5009373574.

The spelling of 99575352 in words is "ninety-nine million, five hundred seventy-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1277 1368 1444 2052 2166 2554 2888 3249 3831 4104 4332 5108 6498 7662 8664 9747 10216 11493 12996 15324 19494 22986 24263 25992 30648 34479 38988 45972 48526 68958 72789 77976 91944 97052 137916 145578 194104 218367 275832 291156 436734 460997 582312 655101 873468 921994 1310202 1382991 1746936 1843988 2620404 2765982 3687976 4148973 5240808 5531964 8297946 11063928 12446919 16595892 24893838 33191784 49787676 99575352