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4972992 = 26359439
BaseRepresentation
bin10010111110000111000000
3100100122122220
4102332013000
52233113432
6254331040
760161343
oct22760700
910318586
104972992
112897312
1217b9a80
1310516cb
1493645a
1568372c
hex4be1c0

4972992 has 56 divisors (see below), whose sum is σ = 13411200. Its totient is φ = 1625856.

The previous prime is 4972987. The next prime is 4972999. The reversal of 4972992 is 2992794.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11109 + ... + 11547.

Almost surely, 24972992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705600).

4972992 is an abundant number, since it is smaller than the sum of its proper divisors (8438208).

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

4972992 is a wasteful number, since it uses less digits than its factorization.

4972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 4972992 is about 2230.0206277073. The cubic root of 4972992 is about 170.6891517684.

The spelling of 4972992 in words is "four million, nine hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 439 472 708 878 944 1317 1416 1756 1888 2634 2832 3512 3776 5268 5664 7024 10536 11328 14048 21072 25901 28096 42144 51802 77703 84288 103604 155406 207208 310812 414416 621624 828832 1243248 1657664 2486496 4972992