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5292948024 = 23337131132383
BaseRepresentation
bin1001110110111101…
…11111101000111000
3111122212121121201000
410323132333220320
541314443314044
62233114125000
7245110213230
oct47336775070
914585547630
105292948024
112276805211
121038720760
1366475a910
14382d5acc0
1520ea20d69
hex13b7bfa38

5292948024 has 256 divisors, whose sum is σ = 18263347200. Its totient is φ = 1383008256.

The previous prime is 5292948007. The next prime is 5292948041. The reversal of 5292948024 is 4208492925.

5292948024 is a `hidden beast` number, since 529 + 29 + 4 + 80 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (5292948007) and next prime (5292948041).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2219937 + ... + 2222319.

It is an arithmetic number, because the mean of its divisors is an integer number (71341200).

Almost surely, 25292948024 is an apocalyptic number.

5292948024 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 5292948024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9131673600).

5292948024 is an abundant number, since it is smaller than the sum of its proper divisors (12970399176).

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

5292948024 is a wasteful number, since it uses less digits than its factorization.

5292948024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5292948024 is about 72752.6496012345. The cubic root of 5292948024 is about 1742.7397741031.

The spelling of 5292948024 in words is "five billion, two hundred ninety-two million, nine hundred forty-eight thousand, twenty-four".