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20626464 = 253375807
BaseRepresentation
bin100111010101…
…1110000100000
31102210221012010
41032223300200
520240021324
62014032520
7340215315
oct116536040
942727163
1020626464
1110708a71
126aa8740
134372611
142a4cd0c
151c26829
hex13abc20

20626464 has 48 divisors (see below), whose sum is σ = 55617408. Its totient is φ = 6688512.

The previous prime is 20626447. The next prime is 20626481. The reversal of 20626464 is 46462602.

It is an interprime number because it is at equal distance from previous prime (20626447) and next prime (20626481).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×206264643 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 649 + ... + 6455.

It is an arithmetic number, because the mean of its divisors is an integer number (1158696).

Almost surely, 220626464 is an apocalyptic number.

20626464 is a gapful number since it is divisible by the number (24) 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 20626464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27808704).

20626464 is an abundant number, since it is smaller than the sum of its proper divisors (34990944).

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

20626464 is a wasteful number, since it uses less digits than its factorization.

20626464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 20626464 is about 4541.6367093813. The cubic root of 20626464 is about 274.2468161605.

The spelling of 20626464 in words is "twenty million, six hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 5807 11614 17421 23228 34842 46456 69684 92912 139368 185824 214859 278736 429718 557472 644577 859436 1289154 1718872 2578308 3437744 5156616 6875488 10313232 20626464