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2425376520 = 233457215277
BaseRepresentation
bin1001000010010000…
…0100111100001000
320021000202220010000
42100210010330020
514431344022040
61040400123000
7114050234400
oct22044047410
96230686100
102425376520
111035075306
12578306460
132c8632348
14190187800
15e2dda130
hex90904f08

2425376520 has 240 divisors, whose sum is σ = 9483512940. Its totient is φ = 554335488.

The previous prime is 2425376507. The next prime is 2425376533. The reversal of 2425376520 is 256735242.

2425376520 is a `hidden beast` number, since 2 + 42 + 537 + 65 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2425376507) and next prime (2425376533).

It can be written as a sum of positive squares in 2 ways, for example, as 2185188516 + 240188004 = 46746^2 + 15498^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 151122 + ... + 166398.

Almost surely, 22425376520 is an apocalyptic number.

2425376520 is a gapful number since it is divisible by the number (20) 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 2425376520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741756470).

2425376520 is an abundant number, since it is smaller than the sum of its proper divisors (7058136420).

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

2425376520 is a wasteful number, since it uses less digits than its factorization.

2425376520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15314 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2425376520 is about 49248.1118419783. Note that the first 3 decimals coincide. The cubic root of 2425376520 is about 1343.5682206745.

The spelling of 2425376520 in words is "two billion, four hundred twenty-five million, three hundred seventy-six thousand, five hundred twenty".