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264920838 = 237131925537
BaseRepresentation
bin11111100101001…
…01111100000110
3200110111101001220
433302211330012
51020304431323
642142101210
76364534650
oct1762457406
9613441056
10264920838
111265a4a46
127487a806
1342b67cc0
14272816d0
15183d00e3
hexfca5f06

264920838 has 64 divisors (see below), whose sum is σ = 686461440. Its totient is φ = 66189312.

The previous prime is 264920833. The next prime is 264920849. The reversal of 264920838 is 838029462.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 264920838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264920833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2395 + ... + 23142.

It is an arithmetic number, because the mean of its divisors is an integer number (10725960).

Almost surely, 2264920838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264920838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343230720).

264920838 is an abundant number, since it is smaller than the sum of its proper divisors (421540602).

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

264920838 is a wasteful number, since it uses less digits than its factorization.

264920838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25581.

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 264920838 is about 16276.3889729878. The cubic root of 264920838 is about 642.2518639889.

The spelling of 264920838 in words is "two hundred sixty-four million, nine hundred twenty thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 3458 5187 10374 25537 51074 76611 153222 178759 331981 357518 485203 536277 663962 970406 995943 1072554 1455609 1991886 2323867 2911218 3396421 4647734 6307639 6792842 6971601 10189263 12615278 13943202 18922917 20378526 37845834 44153473 88306946 132460419 264920838