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5676900408 = 23321910738783
BaseRepresentation
bin1010100100101111…
…01010000000111000
3112122122002102100200
411102113222000320
543111241303113
62335151402200
7260451600024
oct52227520070
915578072320
105676900408
11245350a333
121125223360
136c6170a8a
143bbd45384
152335b4873
hex1525ea038

5676900408 has 96 divisors (see below), whose sum is σ = 16335820800. Its totient is φ = 1775905344.

The previous prime is 5676900403. The next prime is 5676900433. The reversal of 5676900408 is 8040096765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5676900403) 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, 126985 + ... + 165767.

It is an arithmetic number, because the mean of its divisors is an integer number (170164800).

Almost surely, 25676900408 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 5676900408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167910400).

5676900408 is an abundant number, since it is smaller than the sum of its proper divisors (10658920392).

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

5676900408 is a wasteful number, since it uses less digits than its factorization.

5676900408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38921 (or 38914 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5676900408 is about 75345.2082617070. The cubic root of 5676900408 is about 1783.8996697650.

The spelling of 5676900408 in words is "five billion, six hundred seventy-six million, nine hundred thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 107 114 152 171 214 228 321 342 428 456 642 684 856 963 1284 1368 1926 2033 2568 3852 4066 6099 7704 8132 12198 16264 18297 24396 36594 38783 48792 73188 77566 116349 146376 155132 232698 310264 349047 465396 698094 736877 930792 1396188 1473754 2210631 2792376 2947508 4149781 4421262 5895016 6631893 8299562 8842524 12449343 13263786 16599124 17685048 24898686 26527572 33198248 37348029 49797372 53055144 74696058 78845839 99594744 149392116 157691678 236537517 298784232 315383356 473075034 630766712 709612551 946150068 1419225102 1892300136 2838450204 5676900408