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4992192 = 2636107
BaseRepresentation
bin10011000010110011000000
3100101122000000
4103002303000
52234222232
6255000000
760301332
oct23026300
910348000
104992192
1128aa787
121809000
13105a37a
1493d452
1568927c
hex4c2cc0

4992192 has 98 divisors (see below), whose sum is σ = 14991588. Its totient is φ = 1648512.

The previous prime is 4992187. The next prime is 4992233. The reversal of 4992192 is 2912994.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46603 + ... + 46709.

Almost surely, 24992192 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 4992192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495794).

4992192 is an abundant number, since it is smaller than the sum of its proper divisors (9999396).

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

4992192 is an equidigital number, since it uses as much as digits as its factorization.

4992192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

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

The square root of 4992192 is about 2234.3213734823. The cubic root of 4992192 is about 170.9085383468.

It can be divided in two parts, 4992 and 192, that added together give a square (5184 = 722).

The spelling of 4992192 in words is "four million, nine hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 107 108 144 162 192 214 216 243 288 321 324 428 432 486 576 642 648 729 856 864 963 972 1284 1296 1458 1712 1728 1926 1944 2568 2592 2889 2916 3424 3852 3888 5136 5184 5778 5832 6848 7704 7776 8667 10272 11556 11664 15408 15552 17334 20544 23112 23328 26001 30816 34668 46224 46656 52002 61632 69336 78003 92448 104004 138672 156006 184896 208008 277344 312012 416016 554688 624024 832032 1248048 1664064 2496096 4992192