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4379020560 = 2432579167461
BaseRepresentation
bin1000001010000001…
…01000110100010000
3102022011220021220200
410011000220310100
532432012124220
62002305335200
7213342026535
oct40500506420
912264807820
104379020560
11194792aa62
12a22637500
1354a2c8b35
142d7816d8c
151a9692890
hex105028d10

4379020560 has 240 divisors, whose sum is σ = 15014039040. Its totient is φ = 1143567360.

The previous prime is 4379020523. The next prime is 4379020567. The reversal of 4379020560 is 650209734.

4379020560 is a `hidden beast` number, since 4 + 3 + 7 + 90 + 2 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (4379020567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9498730 + ... + 9499190.

It is an arithmetic number, because the mean of its divisors is an integer number (62558496).

Almost surely, 24379020560 is an apocalyptic number.

4379020560 is a gapful number since it is divisible by the number (40) 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 4379020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507019520).

4379020560 is an abundant number, since it is smaller than the sum of its proper divisors (10635018480).

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

4379020560 is a wasteful number, since it uses less digits than its factorization.

4379020560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4379020560 is about 66174.1683740718. The cubic root of 4379020560 is about 1636.0340119223.

The spelling of 4379020560 in words is "four billion, three hundred seventy-nine million, twenty thousand, five hundred sixty".