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99033952 = 2523239563
BaseRepresentation
bin1011110011100…
…10001101100000
320220100110001011
411321302031200
5200323041302
613454350304
72311526503
oct571621540
9226313034
1099033952
11509a1746
12291bb394
1317695b94
14d21d13a
158a635d7
hex5e72360

99033952 has 48 divisors (see below), whose sum is σ = 204664320. Its totient is φ = 47082112.

The previous prime is 99033943. The next prime is 99033967. The reversal of 99033952 is 25933099.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175623 + ... + 176185.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 299033952 is an apocalyptic number.

99033952 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 99033952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332160).

99033952 is an abundant number, since it is smaller than the sum of its proper divisors (105630368).

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

99033952 is a wasteful number, since it uses less digits than its factorization.

99033952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 40.

The square root of 99033952 is about 9951.5803770055. The cubic root of 99033952 is about 462.6593784292.

The spelling of 99033952 in words is "ninety-nine million, thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 239 368 478 563 736 956 1126 1912 2252 3824 4504 5497 7648 9008 10994 12949 18016 21988 25898 43976 51796 87952 103592 134557 175904 207184 269114 414368 538228 1076456 2152912 3094811 4305824 6189622 12379244 24758488 49516976 99033952