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3922012032 = 27365315641
BaseRepresentation
bin1110100111000101…
…0010011110000000
3101010022221212001220
43221301102132000
531013013341112
61445102155040
7166122360261
oct35161223600
911108855056
103922012032
111732967764
12915582a80
134a67170a3
14292c52968
1517e4bc98c
hexe9c52780

3922012032 has 64 divisors (see below), whose sum is σ = 10434465360. Its totient is φ = 1305251840.

The previous prime is 3922012021. The next prime is 3922012043. The reversal of 3922012032 is 2302102293.

It is an interprime number because it is at equal distance from previous prime (3922012021) and next prime (3922012043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3922011993 and 3922012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242932 + ... + 258572.

Almost surely, 23922012032 is an apocalyptic number.

3922012032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3922012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217232680).

3922012032 is an abundant number, since it is smaller than the sum of its proper divisors (6512453328).

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

3922012032 is a wasteful number, since it uses less digits than its factorization.

3922012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16311 (or 16299 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3922012032 is about 62625.9693098638. The cubic root of 3922012032 is about 1577.0167539526.

The spelling of 3922012032 in words is "three billion, nine hundred twenty-two million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 653 1306 1959 2612 3918 5224 7836 10448 15641 15672 20896 31282 31344 41792 46923 62564 62688 83584 93846 125128 125376 187692 250256 250752 375384 500512 750768 1001024 1501536 2002048 3003072 6006144 10213573 20427146 30640719 40854292 61281438 81708584 122562876 163417168 245125752 326834336 490251504 653668672 980503008 1307337344 1961006016 3922012032