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2392992 = 253271187
BaseRepresentation
bin1001001000001110100000
311111120120100
421020032200
51103033432
6123142400
726224440
oct11101640
94446510
102392992
111394988
12974a00
1365a294
14464120
1532407c
hex2483a0

2392992 has 72 divisors (see below), whose sum is σ = 7783776. Its totient is φ = 683136.

The previous prime is 2392991. The next prime is 2392997. The reversal of 2392992 is 2992932.

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 d-powerful number, because it can be written as 2 + 311 + 92 + 29 + 95 + 95 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2392991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1423 + ... + 2609.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

22392992 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 2392992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888).

2392992 is an abundant number, since it is smaller than the sum of its proper divisors (5390784).

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

2392992 is a wasteful number, since it uses less digits than its factorization.

2392992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 2392992 is about 1546.9298626635. The cubic root of 2392992 is about 133.7561466881.

The spelling of 2392992 in words is "two million, three hundred ninety-two 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 1187 2016 2374 3561 4748 7122 8309 9496 10683 14244 16618 18992 21366 24927 28488 33236 37984 42732 49854 56976 66472 74781 85464 99708 113952 132944 149562 170928 199416 265888 299124 341856 398832 598248 797664 1196496 2392992