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4375376460 = 22335713269331
BaseRepresentation
bin1000001001100101…
…01111001001001100
3102021221001011011000
410010302233021030
532430044021320
62002055300300
7213266041410
oct40462571114
912257034130
104375376460
111945871104
12a2137a690
13549621270
142d7148d40
151a91c2c90
hex104caf24c

4375376460 has 384 divisors, whose sum is σ = 16866662400. Its totient is φ = 916945920.

The previous prime is 4375376443. The next prime is 4375376477. The reversal of 4375376460 is 646735734.

It is an interprime number because it is at equal distance from previous prime (4375376443) and next prime (4375376477).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13218495 + ... + 13218825.

It is an arithmetic number, because the mean of its divisors is an integer number (43923600).

Almost surely, 24375376460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4375376460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433331200).

4375376460 is an abundant number, since it is smaller than the sum of its proper divisors (12491285940).

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

4375376460 is a wasteful number, since it uses less digits than its factorization.

4375376460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The square root of 4375376460 is about 66146.6284855094. The cubic root of 4375376460 is about 1635.5800652011.

The spelling of 4375376460 in words is "four billion, three hundred seventy-five million, three hundred seventy-six thousand, four hundred sixty".