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4942272960 = 2632531197281
BaseRepresentation
bin1001001101001010…
…10001100111000000
3110202102202110221200
410212211101213000
540110210213320
62134230021200
7233321425032
oct44645214700
913672673850
104942272960
112106869909
12b5b1a7800
13609bc9391
1434c555c52
151ddd52290
hex1269519c0

4942272960 has 336 divisors, whose sum is σ = 17699565312. Its totient is φ = 1264435200.

The previous prime is 4942272947. The next prime is 4942272961. The reversal of 4942272960 is 692722494.

It is a happy number.

4942272960 is a `hidden beast` number, since 494 + 2 + 2 + 72 + 96 + 0 = 666.

It is a super-2 number, since 2×49422729602 = 48852124022294323200, 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 not an unprimeable number, because it can be changed into a prime (4942272961) 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 47 ways as a sum of consecutive naturals, for example, 17588020 + ... + 17588300.

Almost surely, 24942272960 is an apocalyptic number.

4942272960 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 4942272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849782656).

4942272960 is an abundant number, since it is smaller than the sum of its proper divisors (12757292352).

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

4942272960 is a wasteful number, since it uses less digits than its factorization.

4942272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4942272960 is about 70301.3012681842. The cubic root of 4942272960 is about 1703.3696670120.

The spelling of 4942272960 in words is "four billion, nine hundred forty-two million, two hundred seventy-two thousand, nine hundred sixty".