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5412963024 = 24357593371
BaseRepresentation
bin1010000101010001…
…10100001011010000
3111222020110000100000
411002220310023100
542041204304044
62253042330000
7251065266210
oct50250641320
914866400300
105412963024
112328527267
121070959900
1368358b601
14394c7c240
1521a32ad69
hex142a342d0

5412963024 has 240 divisors, whose sum is σ = 18263831040. Its totient is φ = 1519896960.

The previous prime is 5412963007. The next prime is 5412963089. The reversal of 5412963024 is 4203692145.

It is a happy number.

5412963024 is a `hidden beast` number, since 5 + 4 + 12 + 9 + 630 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5412963024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1604059 + ... + 1607429.

It is an arithmetic number, because the mean of its divisors is an integer number (76099296).

Almost surely, 25412963024 is an apocalyptic number.

5412963024 is a gapful number since it is divisible by the number (54) 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 5412963024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9131915520).

5412963024 is an abundant number, since it is smaller than the sum of its proper divisors (12850868016).

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

5412963024 is a wasteful number, since it uses less digits than its factorization.

5412963024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5412963024 is about 73572.8416197173. The cubic root of 5412963024 is about 1755.8133770809.

The spelling of 5412963024 in words is "five billion, four hundred twelve million, nine hundred sixty-three thousand, twenty-four".