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537409152 = 2732766643
BaseRepresentation
bin100000000010000…
…011011010000000
31101110020012202200
4200002003122000
52100034043102
6125154313200
716213621350
oct4002033200
91343205680
10537409152
112563984a5
1212bb88800
13874525a7
1451532b60
15322a751c
hex20083680

537409152 has 96 divisors (see below), whose sum is σ = 1767398880. Its totient is φ = 153543168.

The previous prime is 537409109. The next prime is 537409157. The reversal of 537409152 is 251904735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (537409157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25258 + ... + 41385.

It is an arithmetic number, because the mean of its divisors is an integer number (18410405).

Almost surely, 2537409152 is an apocalyptic number.

It is an amenable number.

537409152 is an abundant number, since it is smaller than the sum of its proper divisors (1229989728).

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

537409152 is a wasteful number, since it uses less digits than its factorization.

537409152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66670 (or 66655 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 537409152 is about 23182.0868775872. The cubic root of 537409152 is about 813.0208552086.

The spelling of 537409152 in words is "five hundred thirty-seven million, four hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 66643 133286 199929 266572 399858 466501 533144 599787 799716 933002 1066288 1199574 1399503 1599432 1866004 2132576 2399148 2799006 3198864 3732008 4198509 4265152 4798296 5598012 6397728 7464016 8397018 8530304 9596592 11196024 12795456 14928032 16794036 19193184 22392048 25590912 29856064 33588072 38386368 44784096 59712128 67176144 76772736 89568192 134352288 179136384 268704576 537409152