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3821005920 = 25357960429
BaseRepresentation
bin1110001110111111…
…1110110001100000
3100212021220012201210
43203233332301200
530311134142140
61431053230120
7163455004644
oct34357766140
910767805653
103821005920
111690949336
128a7792340
1348b810664
1428367cc24
151756b9d80
hexe3bfec60

3821005920 has 48 divisors (see below), whose sum is σ = 12036170160. Its totient is φ = 1018934784.

The previous prime is 3821005919. The next prime is 3821005943. The reversal of 3821005920 is 295001283.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3979735 + ... + 3980694.

It is an arithmetic number, because the mean of its divisors is an integer number (250753545).

Almost surely, 23821005920 is an apocalyptic number.

3821005920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3821005920 is an abundant number, since it is smaller than the sum of its proper divisors (8215164240).

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

3821005920 is a wasteful number, since it uses less digits than its factorization.

3821005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960447 (or 7960439 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 3821005920 is about 61814.2857274918. The cubic root of 3821005920 is about 1563.3608672244.

The spelling of 3821005920 in words is "three billion, eight hundred twenty-one million, five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7960429 15920858 23881287 31841716 39802145 47762574 63683432 79604290 95525148 119406435 127366864 159208580 191050296 238812870 254733728 318417160 382100592 477625740 636834320 764201184 955251480 1273668640 1910502960 3821005920