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4992510432 = 2537313107109
BaseRepresentation
bin1001010011001001…
…11010100111100000
3110212221021210210210
410221210322213200
540211040313212
62143222454120
7234501432000
oct45144724740
913787253723
104992510432
112132161a88
12b73b94340
136174388b0
143550b2000
151e347753c
hex12993a9e0

4992510432 has 384 divisors, whose sum is σ = 16765056000. Its totient is φ = 1292433408.

The previous prime is 4992510431. The next prime is 4992510437. The reversal of 4992510432 is 2340152994.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992510431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45802794 + ... + 45802902.

It is an arithmetic number, because the mean of its divisors is an integer number (43659000).

Almost surely, 24992510432 is an apocalyptic number.

4992510432 is a gapful number since it is divisible by the number (42) 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 4992510432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382528000).

4992510432 is an abundant number, since it is smaller than the sum of its proper divisors (11772545568).

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

4992510432 is a wasteful number, since it uses less digits than its factorization.

4992510432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 4992510432 is about 70657.6990284852. The cubic root of 4992510432 is about 1709.1217212739.

The spelling of 4992510432 in words is "four billion, nine hundred ninety-two million, five hundred ten thousand, four hundred thirty-two".