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1364282976 = 25372030183
BaseRepresentation
bin101000101010001…
…0100111001100000
310112002010202102010
41101110110321200
510243224023401
6343213152520
745544133250
oct12124247140
93462122363
101364282976
11640113aa1
12320a8b740
13189854544
14cd295960
157eb8bed6
hex51514e60

1364282976 has 48 divisors (see below), whose sum is σ = 4092850944. Its totient is φ = 389794944.

The previous prime is 1364282971. The next prime is 1364283007. The reversal of 1364282976 is 6792824631.

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

It is a super-2 number, since 2×13642829762 = 3722536077206833152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364282971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014420 + ... + 1015763.

It is an arithmetic number, because the mean of its divisors is an integer number (85267728).

Almost surely, 21364282976 is an apocalyptic number.

1364282976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1364282976 is an abundant number, since it is smaller than the sum of its proper divisors (2728567968).

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

1364282976 is a wasteful number, since it uses less digits than its factorization.

1364282976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030203 (or 2030195 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 1364282976 is about 36936.2014289504. The cubic root of 1364282976 is about 1109.0934827365.

The spelling of 1364282976 in words is "one billion, three hundred sixty-four million, two hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2030183 4060366 6090549 8120732 12181098 14211281 16241464 24362196 28422562 32482928 42633843 48724392 56845124 64965856 85267686 97448784 113690248 170535372 194897568 227380496 341070744 454760992 682141488 1364282976