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5808035968 = 2776796749
BaseRepresentation
bin1010110100010111…
…11001100010000000
3112222202211210112021
411122023321202000
543343324122333
62400154211224
7263633330320
oct53213714200
915882753467
105808035968
112510537429
121161123b14
13717396397
143d151d280
1523ed6982d
hex15a2f9880

5808035968 has 64 divisors (see below), whose sum is σ = 13421160000. Its totient is φ = 2451981312.

The previous prime is 5808035921. The next prime is 5808035977. The reversal of 5808035968 is 8695308085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11658 + ... + 108406.

It is an arithmetic number, because the mean of its divisors is an integer number (209705625).

Almost surely, 25808035968 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 5808035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710580000).

5808035968 is an abundant number, since it is smaller than the sum of its proper divisors (7613124032).

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

5808035968 is an equidigital number, since it uses as much as digits as its factorization.

5808035968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96837 (or 96825 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The square root of 5808035968 is about 76210.4715114662. The cubic root of 5808035968 is about 1797.5311800060.

The spelling of 5808035968 in words is "five billion, eight hundred eight million, thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 268 448 469 536 896 938 1072 1876 2144 3752 4288 7504 8576 15008 30016 60032 96749 193498 386996 677243 773992 1354486 1547984 2708972 3095968 5417944 6191936 6482183 10835888 12383872 12964366 21671776 25928732 43343552 45375281 51857464 86687104 90750562 103714928 181501124 207429856 363002248 414859712 726004496 829719424 1452008992 2904017984 5808035968