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2792952 = 233238791
BaseRepresentation
bin1010101001110111111000
312020220012200
422221313320
51203333302
6135510200
732511501
oct12516770
95226180
102792952
111638428
12b28360
1376a346
14529ba8
153a281c
hex2a9df8

2792952 has 24 divisors (see below), whose sum is σ = 7564440. Its totient is φ = 930960.

The previous prime is 2792939. The next prime is 2792957. The reversal of 2792952 is 2592972.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19324 + ... + 19467.

It is an arithmetic number, because the mean of its divisors is an integer number (315185).

22792952 is an apocalyptic number.

It is an amenable number.

2792952 is an abundant number, since it is smaller than the sum of its proper divisors (4771488).

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

2792952 is a wasteful number, since it uses less digits than its factorization.

2792952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38803 (or 38796 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2792952 is about 1671.2127333167. The cubic root of 2792952 is about 140.8276148918.

The spelling of 2792952 in words is "two million, seven hundred ninety-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 38791 77582 116373 155164 232746 310328 349119 465492 698238 930984 1396476 2792952