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3090689504 = 25722517853
BaseRepresentation
bin1011100000111000…
…0010110111100000
321222101200021221122
42320032002313200
522312204031004
61230404111412
7136406266400
oct27016026740
97871607848
103090689504
111346682851
12723095568
133a3418276
14214692800
15131509cbe
hexb8382de0

3090689504 has 72 divisors (see below), whose sum is σ = 7107335928. Its totient is φ = 1319136000.

The previous prime is 3090689467. The next prime is 3090689507. The reversal of 3090689504 is 4059860903.

It is a super-2 number, since 2×30906895042 = 19104723220271532032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3090689507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389642 + ... + 397494.

It is an arithmetic number, because the mean of its divisors is an integer number (98712999).

Almost surely, 23090689504 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 3090689504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553667964).

3090689504 is an abundant number, since it is smaller than the sum of its proper divisors (4016646424).

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

3090689504 is a wasteful number, since it uses less digits than its factorization.

3090689504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 3090689504 is about 55593.9700327293. The cubic root of 3090689504 is about 1456.6385266403.

The spelling of 3090689504 in words is "three billion, ninety million, six hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 251 392 502 784 1004 1568 1757 2008 3514 4016 7028 7853 8032 12299 14056 15706 24598 28112 31412 49196 54971 56224 62824 98392 109942 125648 196784 219884 251296 384797 393568 439768 769594 879536 1539188 1759072 1971103 3078376 3942206 6156752 7884412 12313504 13797721 15768824 27595442 31537648 55190884 63075296 96584047 110381768 193168094 220763536 386336188 441527072 772672376 1545344752 3090689504