Search a number
-
+
696501504 = 283433589
BaseRepresentation
bin101001100000111…
…100010100000000
31210112120221110000
4221200330110000
52411301022004
6153040240000
723155110426
oct5140742400
91715527400
10696501504
1132817a986
12175310000
13b13b5b8a
1468707116
1541230c39
hex2983c500

696501504 has 90 divisors (see below), whose sum is σ = 2076903290. Its totient is φ = 232160256.

The previous prime is 696501503. The next prime is 696501511. The reversal of 696501504 is 405105696.

It can be written as a sum of positive squares in only one way, i.e., 694427904 + 2073600 = 26352^2 + 1440^2 .

It is a super-2 number, since 2×6965015042 = 970228690148524032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (696501503) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3942 + ... + 37530.

Almost surely, 2696501504 is an apocalyptic number.

696501504 is a gapful number since it is divisible by the number (64) 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 696501504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038451645).

696501504 is an abundant number, since it is smaller than the sum of its proper divisors (1380401786).

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

696501504 is an equidigital number, since it uses as much as digits as its factorization.

696501504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33617 (or 33594 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 696501504 is about 26391.3149350312. The cubic root of 696501504 is about 886.4223265022.

The spelling of 696501504 in words is "six hundred ninety-six million, five hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 33589 67178 100767 134356 201534 268712 302301 403068 537424 604602 806136 906903 1074848 1209204 1612272 1813806 2149696 2418408 2720709 3224544 3627612 4299392 4836816 5441418 6449088 7255224 8598784 9673632 10882836 12898176 14510448 19347264 21765672 25796352 29020896 38694528 43531344 58041792 77389056 87062688 116083584 174125376 232167168 348250752 696501504