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3979901520 = 2433572311213
BaseRepresentation
bin1110110100111000…
…0111101001010000
3101021100212221112000
43231032013221100
531122323322040
61454531034000
7200424414300
oct35516075120
911240787460
103979901520
111762606a11
12930a3b900
134b570551a
1429a801600
15184605130
hexed387a50

3979901520 has 480 divisors, whose sum is σ = 16474659840. Its totient is φ = 879621120.

The previous prime is 3979901477. The next prime is 3979901533. The reversal of 3979901520 is 251099793.

It is a happy number.

3979901520 is a `hidden beast` number, since 39 + 7 + 9 + 90 + 1 + 520 = 666.

3979901520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39799015202 = 31679232217796620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3280434 + ... + 3281646.

It is an arithmetic number, because the mean of its divisors is an integer number (34322208).

Almost surely, 23979901520 is an apocalyptic number.

3979901520 is a gapful number since it is divisible by the number (30) 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 3979901520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8237329920).

3979901520 is an abundant number, since it is smaller than the sum of its proper divisors (12494758320).

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

3979901520 is a wasteful number, since it uses less digits than its factorization.

3979901520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 3979901520 is about 63086.4606710505. The cubic root of 3979901520 is about 1584.7378908264.

The spelling of 3979901520 in words is "three billion, nine hundred seventy-nine million, nine hundred one thousand, five hundred twenty".