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99937552 = 241113311409
BaseRepresentation
bin1011111010011…
…10110100010000
320222001100112211
411331032310100
5201041000202
613530001504
72322312061
oct575166420
9228040484
1099937552
1151459620
1229576294
1317921260
14d3b6568
158b911d7
hex5f4ed10

99937552 has 80 divisors (see below), whose sum is σ = 234984960. Its totient is φ = 40550400.

The previous prime is 99937529. The next prime is 99937559. The reversal of 99937552 is 25573999.

It is a junction number, because it is equal to n+sod(n) for n = 99937496 and 99937505.

It is not an unprimeable number, because it can be changed into a prime (99937559) 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, 70224 + ... + 71632.

It is an arithmetic number, because the mean of its divisors is an integer number (2937312).

Almost surely, 299937552 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 99937552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117492480).

99937552 is an abundant number, since it is smaller than the sum of its proper divisors (135047408).

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

99937552 is a wasteful number, since it uses less digits than its factorization.

99937552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1466 counting only the distinct ones).

The product of its digits is 765450, while the sum is 49.

The square root of 99937552 is about 9996.8771123786. The cubic root of 99937552 is about 464.0622439289.

It can be divided in two parts, 99937 and 552, that added together give a square (100489 = 3172).

The spelling of 99937552 in words is "ninety-nine million, nine hundred thirty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 248 286 341 403 496 572 682 806 1144 1364 1409 1612 2288 2728 2818 3224 4433 5456 5636 6448 8866 11272 15499 17732 18317 22544 30998 35464 36634 43679 61996 70928 73268 87358 123992 146536 174716 201487 247984 293072 349432 402974 480469 567827 698864 805948 960938 1135654 1611896 1921876 2271308 3223792 3843752 4542616 6246097 7687504 9085232 12492194 24984388 49968776 99937552