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4924592640 = 293451117127
BaseRepresentation
bin1001001011000011…
…10101001000000000
3110201012111020010000
410211201311020000
540041143431030
62132355040000
7233015226642
oct44541651000
913635436100
104924592640
1120a7893380
12b552a0000
13606348a56
1434a072892
151dc50d860
hex125875200

4924592640 has 800 divisors, whose sum is σ = 20534114304. Its totient is φ = 1114767360.

The previous prime is 4924592609. The next prime is 4924592669. The reversal of 4924592640 is 462954294.

It is a super-2 number, since 2×49245926402 = 48503225339884339200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38776257 + ... + 38776383.

Almost surely, 24924592640 is an apocalyptic number.

4924592640 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 4924592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10267057152).

4924592640 is an abundant number, since it is smaller than the sum of its proper divisors (15609521664).

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

4924592640 is a wasteful number, since it uses less digits than its factorization.

4924592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4924592640 is about 70175.4418582455. The cubic root of 4924592640 is about 1701.3360477503.

The spelling of 4924592640 in words is "four billion, nine hundred twenty-four million, five hundred ninety-two thousand, six hundred forty".