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4912992 = 253272437
BaseRepresentation
bin10010101111011101100000
3100020121100200
4102233131200
52224203432
6253145200
756521410
oct22573540
910217320
104912992
112856227
12178b200
1310302c6
1491c640
15670a7c
hex4af760

4912992 has 72 divisors (see below), whose sum is σ = 15973776. Its totient is φ = 1403136.

The previous prime is 4912991. The next prime is 4913009. The reversal of 4912992 is 2992194.

4912992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4912991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798 + ... + 3234.

It is an arithmetic number, because the mean of its divisors is an integer number (221858).

Almost surely, 24912992 is an apocalyptic number.

4912992 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 4912992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986888).

4912992 is an abundant number, since it is smaller than the sum of its proper divisors (11060784).

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

4912992 is a wasteful number, since it uses less digits than its factorization.

4912992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2449 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 4912992 is about 2216.5270131447. The cubic root of 4912992 is about 169.9999077277. Note that the first 4 decimals are identical.

It can be divided in two parts, 49 and 12992, that added together give a triangular number (13041 = T161).

The spelling of 4912992 in words is "four million, nine hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2437 4874 7311 9748 14622 17059 19496 21933 29244 34118 38992 43866 51177 58488 68236 77984 87732 102354 116976 136472 153531 175464 204708 233952 272944 307062 350928 409416 545888 614124 701856 818832 1228248 1637664 2456496 4912992