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3922498944 = 2732713173171
BaseRepresentation
bin1110100111001100…
…1001010110000000
3101010100212120222200
43221303021112000
531013124431234
61445120433200
7166126455660
oct35163112600
911110776880
103922498944
11173316a571
12915778800
134a68578c0
14292d3c1a0
1517e566d99
hexe9cc9580

3922498944 has 768 divisors, whose sum is σ = 15397724160. Its totient is φ = 928972800.

The previous prime is 3922498939. The next prime is 3922498967. The reversal of 3922498944 is 4498942293.

3922498944 is a `hidden beast` number, since 392 + 249 + 8 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×39224989442 = 30771995931362230272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4478976) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55246429 + ... + 55246499.

It is an arithmetic number, because the mean of its divisors is an integer number (20049120).

Almost surely, 23922498944 is an apocalyptic number.

3922498944 is a gapful number since it is divisible by the number (34) 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 3922498944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698862080).

3922498944 is an abundant number, since it is smaller than the sum of its proper divisors (11475225216).

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

3922498944 is a wasteful number, since it uses less digits than its factorization.

3922498944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3922498944 is about 62629.8566500036. The cubic root of 3922498944 is about 1577.0820126856.

The spelling of 3922498944 in words is "three billion, nine hundred twenty-two million, four hundred ninety-eight thousand, nine hundred forty-four".