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109959552 = 273331817
BaseRepresentation
bin1101000110111…
…01100110000000
321122220112011000
412203131212000
5211122201202
614524452000
72503432533
oct643354600
9248815130
10109959552
115708426a
12309aa000
1319a1cb31
1410864a1a
1599c091c
hex68dd980

109959552 has 64 divisors (see below), whose sum is σ = 324543600. Its totient is φ = 36652032.

The previous prime is 109959541. The next prime is 109959569. The reversal of 109959552 is 255959901.

109959552 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 595 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1099595522 = 24182206152081408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109959498 and 109959507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12453 + ... + 19364.

Almost surely, 2109959552 is an apocalyptic number.

109959552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109959552 is an abundant number, since it is smaller than the sum of its proper divisors (214584048).

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

109959552 is an equidigital number, since it uses as much as digits as its factorization.

109959552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31840 (or 31822 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 45.

The square root of 109959552 is about 10486.1600216667. The cubic root of 109959552 is about 479.0832502185.

The spelling of 109959552 in words is "one hundred nine million, nine hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 31817 63634 95451 127268 190902 254536 286353 381804 509072 572706 763608 859059 1018144 1145412 1527216 1718118 2036288 2290824 3054432 3436236 4072576 4581648 6108864 6872472 9163296 12217728 13744944 18326592 27489888 36653184 54979776 109959552