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537042624 = 26313920123
BaseRepresentation
bin100000000000101…
…001111011000000
31101102112120222120
4200000221323000
52044440330444
6125142404240
716210533636
oct4000517300
91342476876
10537042624
11256168088
1212ba30680
1387354801
1451479356
1532233b19
hex20029ec0

537042624 has 56 divisors (see below), whose sum is σ = 1431218880. Its totient is φ = 177717504.

The previous prime is 537042613. The next prime is 537042647. The reversal of 537042624 is 426240735.

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, 16627 + ... + 36749.

It is an arithmetic number, because the mean of its divisors is an integer number (25557480).

Almost surely, 2537042624 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 537042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715609440).

537042624 is an abundant number, since it is smaller than the sum of its proper divisors (894176256).

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

537042624 is a wasteful number, since it uses less digits than its factorization.

537042624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20277 (or 20267 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 537042624 is about 23174.1801149469. The cubic root of 537042624 is about 812.8359788877.

The spelling of 537042624 in words is "five hundred thirty-seven million, forty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 20123 26688 40246 60369 80492 120738 160984 241476 321968 482952 643936 965904 1287872 1931808 2797097 3863616 5594194 8391291 11188388 16782582 22376776 33565164 44753552 67130328 89507104 134260656 179014208 268521312 537042624