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11492496 = 243337719
BaseRepresentation
bin101011110101…
…110010010000
3210121212202000
4223311302100
510420224441
61050154000
7166453551
oct53656220
923555660
1011492496
11653a534
123a22900
1324c4cc2
141752328
1510202b6
hexaf5c90

11492496 has 80 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 3722112.

The previous prime is 11492477. The next prime is 11492501. The reversal of 11492496 is 69429411.

It is a happy number.

11492496 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 self number, because there is not a number n which added to its sum of digits gives 11492496.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15625 + ... + 16343.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 211492496 is an apocalyptic number.

11492496 is a gapful number since it is divisible by the number (16) 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 11492496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

11492496 is an abundant number, since it is smaller than the sum of its proper divisors (22433904).

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

11492496 is a wasteful number, since it uses less digits than its factorization.

11492496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 761 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11492496 is about 3390.0584065765. The cubic root of 11492496 is about 225.6687658185.

The spelling of 11492496 in words is "eleven million, four hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 719 888 999 1332 1438 1776 1998 2157 2664 2876 3996 4314 5328 5752 6471 7992 8628 11504 12942 15984 17256 19413 25884 26603 34512 38826 51768 53206 77652 79809 103536 106412 155304 159618 212824 239427 310608 319236 425648 478854 638472 718281 957708 1276944 1436562 1915416 2873124 3830832 5746248 11492496