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1440641952 = 25325002229
BaseRepresentation
bin101010111011110…
…0111001110100000
310201101211012020100
41111313213032200
510422301020302
6354541542400
750462153211
oct12567471640
93641735210
101440641952
1167a228692
12342574a00
1319c60b579
14d9491408
1586721d1c
hex55de73a0

1440641952 has 36 divisors (see below), whose sum is σ = 4096826370. Its totient is φ = 480213888.

The previous prime is 1440641929. The next prime is 1440641981. The reversal of 1440641952 is 2591460441.

1440641952 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 641 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1188594576 + 252047376 = 34476^2 + 15876^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2500827 + ... + 2501402.

Almost surely, 21440641952 is an apocalyptic number.

1440641952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1440641952 is an abundant number, since it is smaller than the sum of its proper divisors (2656184418).

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

1440641952 is a wasteful number, since it uses less digits than its factorization.

1440641952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002245 (or 5002234 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1440641952 is about 37955.7894398206. The cubic root of 1440641952 is about 1129.4110152722.

The spelling of 1440641952 in words is "one billion, four hundred forty million, six hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5002229 10004458 15006687 20008916 30013374 40017832 45020061 60026748 80035664 90040122 120053496 160071328 180080244 240106992 360160488 480213984 720320976 1440641952