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538597976 = 23729418089
BaseRepresentation
bin100000000110100…
…101101001011000
31101112110121112012
4200012211221120
52100340113401
6125240005052
716230002330
oct4006455130
91345417465
10538597976
1125702a6a4
12130460788
138777a737
14517620c0
153243e8bb
hex201a5a58

538597976 has 64 divisors (see below), whose sum is σ = 1223208000. Its totient is φ = 217405440.

The previous prime is 538597973. The next prime is 538597979. The reversal of 538597976 is 679795835.

It is an interprime number because it is at equal distance from previous prime (538597973) and next prime (538597979).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538597973) by changing a digit.

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, 62540 + ... + 70628.

It is an arithmetic number, because the mean of its divisors is an integer number (19112625).

Almost surely, 2538597976 is an apocalyptic number.

538597976 is a gapful number since it is divisible by the number (56) 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 538597976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611604000).

538597976 is an abundant number, since it is smaller than the sum of its proper divisors (684610024).

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

538597976 is a wasteful number, since it uses less digits than its factorization.

538597976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172 (or 8168 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 59.

The square root of 538597976 is about 23207.7137176414. The cubic root of 538597976 is about 813.6199188643.

The spelling of 538597976 in words is "five hundred thirty-eight million, five hundred ninety-seven thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 29 41 56 58 82 116 164 203 232 287 328 406 574 812 1148 1189 1624 2296 2378 4756 8089 8323 9512 16178 16646 32356 33292 56623 64712 66584 113246 226492 234581 331649 452984 469162 663298 938324 1326596 1642067 1876648 2321543 2653192 3284134 4643086 6568268 9286172 9617821 13136536 18572344 19235642 38471284 67324747 76942568 134649494 269298988 538597976