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2505492 = 2234111937
BaseRepresentation
bin1001100011101100010100
311201021220000
421203230110
51120133432
6125411300
730203433
oct11435424
94637800
102505492
111461460
12a09b30
13699552
1449311a
1534757c
hex263b14

2505492 has 120 divisors (see below), whose sum is σ = 7724640. Its totient is φ = 699840.

The previous prime is 2505487. The next prime is 2505499. The reversal of 2505492 is 2945052.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505499) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67698 + ... + 67734.

It is an arithmetic number, because the mean of its divisors is an integer number (64372).

22505492 is an apocalyptic number.

2505492 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862320).

2505492 is an abundant number, since it is smaller than the sum of its proper divisors (5219148).

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

2505492 is a wasteful number, since it uses less digits than its factorization.

2505492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2505492 is about 1582.8746002132. The cubic root of 2505492 is about 135.8201920199.

The spelling of 2505492 in words is "two million, five hundred five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 37 38 44 54 57 66 74 76 81 99 108 111 114 132 148 162 171 198 209 222 228 297 324 333 342 396 407 418 444 513 594 627 666 684 703 814 836 891 999 1026 1188 1221 1254 1332 1406 1539 1628 1782 1881 1998 2052 2109 2442 2508 2812 2997 3078 3564 3663 3762 3996 4218 4884 5643 5994 6156 6327 7326 7524 7733 8436 10989 11286 11988 12654 14652 15466 16929 18981 21978 22572 23199 25308 30932 32967 33858 37962 43956 46398 56943 65934 67716 69597 75924 92796 113886 131868 139194 208791 227772 278388 417582 626373 835164 1252746 2505492