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1084025952 = 25323763979
BaseRepresentation
bin100000010011100…
…1110110001100000
32210112210020001100
41000213032301200
54210002312302
6255322234400
735602032342
oct10047166140
92715706040
101084025952
115069a4819
12263055a00
13143779b99
14a3d81292
156527cd1c
hex409cec60

1084025952 has 36 divisors (see below), whose sum is σ = 3082699620. Its totient is φ = 361341888.

The previous prime is 1084025951. The next prime is 1084025959. The reversal of 1084025952 is 2595204801.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10840259522 = 2350224529219012608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084025951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1881702 + ... + 1882277.

It is an arithmetic number, because the mean of its divisors is an integer number (85630545).

Almost surely, 21084025952 is an apocalyptic number.

1084025952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1084025952 is an abundant number, since it is smaller than the sum of its proper divisors (1998673668).

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

1084025952 is a wasteful number, since it uses less digits than its factorization.

1084025952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763995 (or 3763984 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1084025952 is about 32924.5493818822. The cubic root of 1084025952 is about 1027.2588540244.

The spelling of 1084025952 in words is "one billion, eighty-four million, twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3763979 7527958 11291937 15055916 22583874 30111832 33875811 45167748 60223664 67751622 90335496 120447328 135503244 180670992 271006488 361341984 542012976 1084025952