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1356484896 = 253213362309
BaseRepresentation
bin101000011011010…
…0101000100100000
310111112110120110100
41100312211010200
510234230004041
6342334102400
745420634314
oct12066450440
93445416410
101356484896
116367781a8
1231a34aa00
13188053cb0
14cc225b44
157e14b6b6
hex50da5120

1356484896 has 72 divisors (see below), whose sum is σ = 4154246460. Its totient is φ = 417378816.

The previous prime is 1356484781. The next prime is 1356484897. The reversal of 1356484896 is 6984846531.

It can be written as a sum of positive squares in 2 ways, for example, as 1342196496 + 14288400 = 36636^2 + 3780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13564848962 = 3680102546152261632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1356484897) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 177411 + ... + 184898.

Almost surely, 21356484896 is an apocalyptic number.

1356484896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1356484896 is an abundant number, since it is smaller than the sum of its proper divisors (2797761564).

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

1356484896 is a wasteful number, since it uses less digits than its factorization.

1356484896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362338 (or 362327 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 1356484896 is about 36830.4886744664. The cubic root of 1356484896 is about 1106.9762947115.

The spelling of 1356484896 in words is "one billion, three hundred fifty-six million, four hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 362309 724618 1086927 1449236 2173854 2898472 3260781 4347708 4710017 5796944 6521562 8695416 9420034 11593888 13043124 14130051 17390832 18840068 26086248 28260102 34781664 37680136 42390153 52172496 56520204 75360272 84780306 104344992 113040408 150720544 169560612 226080816 339121224 452161632 678242448 1356484896