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4440072816 = 243237833347
BaseRepresentation
bin1000010001010011…
…00010001001110000
3102110102210001212100
410020221202021300
533043124312231
62012330100400
7215012665464
oct41051421160
912412701770
104440072816
11197933a473
12a3ab7a700
13559b53a2a
1430198a4a4
151aec021e6
hex108a62270

4440072816 has 60 divisors (see below), whose sum is σ = 12761891272. Its totient is φ = 1440021888.

The previous prime is 4440072773. The next prime is 4440072839. The reversal of 4440072816 is 6182700444.

It is a super-2 number, since 2×44400728162 = 39428493222764339712, which contains 22 as substring.

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

4440072816 is a modest number, since divided by 72816 gives 44400 as remainder.

It is a congruent number.

It is an unprimeable number.

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, 411346 + ... + 422001.

Almost surely, 24440072816 is an apocalyptic number.

It is an amenable number.

4440072816 is an abundant number, since it is smaller than the sum of its proper divisors (8321818456).

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

4440072816 is a wasteful number, since it uses less digits than its factorization.

4440072816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833398 (or 833389 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4440072816 is about 66633.8713868555. The cubic root of 4440072816 is about 1643.6021379022.

The spelling of 4440072816 in words is "four billion, four hundred forty million, seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 833347 1666694 2500041 3333388 5000082 6666776 7500123 10000164 13333552 15000246 20000328 30000492 30833839 40000656 60000984 61667678 92501517 120001968 123335356 185003034 246670712 277504551 370006068 493341424 555009102 740012136 1110018204 1480024272 2220036408 4440072816