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2492832 = 253231129
BaseRepresentation
bin1001100000100110100000
311200122112010
421200212200
51114232312
6125232520
730121506
oct11404640
94618463
102492832
1114529a1
12a02740
13693864
1448c676
1534393c
hex2609a0

2492832 has 48 divisors (see below), whose sum is σ = 6834240. Its totient is φ = 794112.

The previous prime is 2492827. The next prime is 2492843. The reversal of 2492832 is 2382942.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×24928322 = 12428422760448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2492832.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1644 + ... + 2772.

It is an arithmetic number, because the mean of its divisors is an integer number (142380).

22492832 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 2492832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417120).

2492832 is an abundant number, since it is smaller than the sum of its proper divisors (4341408).

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

2492832 is a wasteful number, since it uses less digits than its factorization.

2492832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1157 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2492832 is about 1578.8704823386. The cubic root of 2492832 is about 135.5910436910.

It can be divided in two parts, 249 and 2832, that added together give a triangular number (3081 = T78).

The spelling of 2492832 in words is "two million, four hundred ninety-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1129 2208 2258 3387 4516 6774 9032 13548 18064 25967 27096 36128 51934 54192 77901 103868 108384 155802 207736 311604 415472 623208 830944 1246416 2492832