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500640264 = 23352311197
BaseRepresentation
bin11101110101110…
…010101000001000
31021220001011100000
4131311302220020
52011130442024
6121402243000
715256241415
oct3565625010
91256034300
10500640264
11237664493
1211b7b6460
137c94a657
144a6c110c
152de42cc9
hex1dd72a08

500640264 has 96 divisors (see below), whose sum is σ = 1467385920. Its totient is φ = 159610176.

The previous prime is 500640247. The next prime is 500640269. The reversal of 500640264 is 462046005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (500640269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39114 + ... + 50310.

It is an arithmetic number, because the mean of its divisors is an integer number (15285270).

Almost surely, 2500640264 is an apocalyptic number.

500640264 is a gapful number since it is divisible by the number (54) 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 500640264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733692960).

500640264 is an abundant number, since it is smaller than the sum of its proper divisors (966745656).

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

500640264 is a wasteful number, since it uses less digits than its factorization.

500640264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11241 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 500640264 is about 22374.9919329594. The cubic root of 500640264 is about 794.0391667279.

Adding to 500640264 its reverse (462046005), we get a palindrome (962686269).

The spelling of 500640264 in words is "five hundred million, six hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 828 972 1242 1656 1863 1944 2484 3726 4968 5589 7452 11178 11197 14904 22356 22394 33591 44712 44788 67182 89576 100773 134364 201546 257531 268728 302319 403092 515062 604638 772593 806184 906957 1030124 1209276 1545186 1813914 2060248 2317779 2418552 2720871 3090372 3627828 4635558 5441742 6180744 6953337 7255656 9271116 10883484 13906674 18542232 20860011 21766968 27813348 41720022 55626696 62580033 83440044 125160066 166880088 250320132 500640264