Search a number
-
+
23249408 = 29713499
BaseRepresentation
bin101100010110…
…0001000000000
31121202012012012
41120230020000
521422440113
62150152052
7401421350
oct130541000
947665165
1023249408
111213a696
127952628
134a80460
143132b60
152093aa8
hex162c200

23249408 has 80 divisors (see below), whose sum is σ = 57288000. Its totient is φ = 9179136.

The previous prime is 23249399. The next prime is 23249423. The reversal of 23249408 is 80494232.

It is a super-3 number, since 3×232494083 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 46343 + ... + 46841.

It is an arithmetic number, because the mean of its divisors is an integer number (716100).

Almost surely, 223249408 is an apocalyptic number.

23249408 is a gapful number since it is divisible by the number (28) 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 23249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28644000).

23249408 is an abundant number, since it is smaller than the sum of its proper divisors (34038592).

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

23249408 is an equidigital number, since it uses as much as digits as its factorization.

23249408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 23249408 is about 4821.7639925654. The cubic root of 23249408 is about 285.4109512155.

The spelling of 23249408 in words is "twenty-three million, two hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 499 512 728 832 896 998 1456 1664 1792 1996 2912 3328 3493 3584 3992 5824 6487 6656 6986 7984 11648 12974 13972 15968 23296 25948 27944 31936 45409 46592 51896 55888 63872 90818 103792 111776 127744 181636 207584 223552 255488 363272 415168 447104 726544 830336 894208 1453088 1660672 1788416 2906176 3321344 5812352 11624704 23249408