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2492724 = 2231319292
BaseRepresentation
bin1001100000100100110100
311200122101010
421200210310
51114231344
6125232220
730121263
oct11404464
94618333
102492724
111452903
12a02670
136937b0
1448c5da
153438b9
hex260934

2492724 has 72 divisors (see below), whose sum is σ = 6828640. Its totient is φ = 701568.

The previous prime is 2492719. The next prime is 2492729. The reversal of 2492724 is 4272942.

It is an interprime number because it is at equal distance from previous prime (2492719) and next prime (2492729).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2 + 45 + 94 + 213 + 76 + 221 + 49 .

It is a junction number, because it is equal to n+sod(n) for n = 2492691 and 2492700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2492729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85942 + ... + 85970.

22492724 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 2492724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414320).

2492724 is an abundant number, since it is smaller than the sum of its proper divisors (4335916).

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

2492724 is a wasteful number, since it uses less digits than its factorization.

2492724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2492724 is about 1578.8362803027. The cubic root of 2492724 is about 135.5890855374.

The spelling of 2492724 in words is "two million, four hundred ninety-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 19 26 29 38 39 52 57 58 76 78 87 114 116 156 174 228 247 348 377 494 551 741 754 841 988 1102 1131 1482 1508 1653 1682 2204 2262 2523 2964 3306 3364 4524 5046 6612 7163 10092 10933 14326 15979 21489 21866 28652 31958 32799 42978 43732 47937 63916 65598 85956 95874 131196 191748 207727 415454 623181 830908 1246362 2492724