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537058648 = 23723439697
BaseRepresentation
bin100000000000101…
…101110101011000
31101102120101222001
4200000231311120
52044441334043
6125143010344
716210631440
oct4000556530
91342511861
10537058648
11256179125
1212ba399b4
138735bba9
1451481120
153223874d
hex2002dd58

537058648 has 64 divisors (see below), whose sum is σ = 1228930560. Its totient is φ = 215018496.

The previous prime is 537058607. The next prime is 537058681. The reversal of 537058648 is 846850735.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 537058598 and 537058607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50536 + ... + 60232.

It is an arithmetic number, because the mean of its divisors is an integer number (19202040).

Almost surely, 2537058648 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 537058648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614465280).

537058648 is an abundant number, since it is smaller than the sum of its proper divisors (691871912).

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

537058648 is a wasteful number, since it uses less digits than its factorization.

537058648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776 (or 9772 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 537058648 is about 23174.5258419671. The cubic root of 537058648 is about 812.8440631337.

The spelling of 537058648 in words is "five hundred thirty-seven million, fifty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 23 28 43 46 56 86 92 161 172 184 301 322 344 602 644 989 1204 1288 1978 2408 3956 6923 7912 9697 13846 19394 27692 38788 55384 67879 77576 135758 223031 271516 416971 446062 543032 833942 892124 1561217 1667884 1784248 2918797 3122434 3335768 5837594 6244868 9590333 11675188 12489736 19180666 23350376 38361332 67132331 76722664 134264662 268529324 537058648