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11296488 = 2337193539
BaseRepresentation
bin101011000101…
…111011101000
3210020220212110
4223011323220
510342441423
61042042320
7165006240
oct53057350
923226773
1011296488
116416245
1239493a0
132456a18
141700b20
15ed2193
hexac5ee8

11296488 has 64 divisors (see below), whose sum is σ = 33984000. Its totient is φ = 3056832.

The previous prime is 11296477. The next prime is 11296499. The reversal of 11296488 is 88469211.

It is an interprime number because it is at equal distance from previous prime (11296477) and next prime (11296499).

It is a super-2 number, since 2×112964882 = 255221282268288, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1423 + ... + 4961.

It is an arithmetic number, because the mean of its divisors is an integer number (531000).

Almost surely, 211296488 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 11296488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992000).

11296488 is an abundant number, since it is smaller than the sum of its proper divisors (22687512).

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

11296488 is a wasteful number, since it uses less digits than its factorization.

11296488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3570 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 11296488 is about 3361.0248437047. The cubic root of 11296488 is about 224.3784524987.

The spelling of 11296488 in words is "eleven million, two hundred ninety-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 3539 7078 10617 14156 21234 24773 28312 42468 49546 67241 74319 84936 99092 134482 148638 198184 201723 268964 297276 403446 470687 537928 594552 806892 941374 1412061 1613784 1882748 2824122 3765496 5648244 11296488