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4939377408 = 2836719199
BaseRepresentation
bin1001001100110100…
…01110101100000000
3110202020022101000000
410212122032230000
540103440034113
62134044000000
7233255005140
oct44632165400
913666271000
104939377408
112105171399
12b5a230000
13609424434
1434c000920
151dd97e373
hex12668eb00

4939377408 has 504 divisors, whose sum is σ = 17872736000. Its totient is φ = 1330255872.

The previous prime is 4939377407. The next prime is 4939377409. The reversal of 4939377408 is 8047739394.

It is an interprime number because it is at equal distance from previous prime (4939377407) and next prime (4939377409).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4939377407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24820893 + ... + 24821091.

Almost surely, 24939377408 is an apocalyptic number.

4939377408 is a gapful number since it is divisible by the number (48) 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 4939377408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936368000).

4939377408 is an abundant number, since it is smaller than the sum of its proper divisors (12933358592).

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

4939377408 is an equidigital number, since it uses as much as digits as its factorization.

4939377408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 4939377408 is about 70280.7043789403. The cubic root of 4939377408 is about 1703.0369483746.

The spelling of 4939377408 in words is "four billion, nine hundred thirty-nine million, three hundred seventy-seven thousand, four hundred eight".