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115485648 = 24319139911
BaseRepresentation
bin1101110001000…
…10101111010000
322001022021112020
412320202233100
5214031020043
615243131440
72601416565
oct670425720
9261267466
10115485648
115a209093
1232813b80
131ac06205
14114a286c
15a212e83
hex6e22bd0

115485648 has 80 divisors (see below), whose sum is σ = 316646400. Its totient is φ = 36167040.

The previous prime is 115485637. The next prime is 115485653. The reversal of 115485648 is 846584511.

It is a congruent number.

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, 126313 + ... + 127223.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2115485648 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 115485648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158323200).

115485648 is an abundant number, since it is smaller than the sum of its proper divisors (201160752).

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

115485648 is a wasteful number, since it uses less digits than its factorization.

115485648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 115485648 is about 10746.4248938891. The cubic root of 115485648 is about 486.9779964114.

The spelling of 115485648 in words is "one hundred fifteen million, four hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 139 152 228 278 304 417 456 556 834 911 912 1112 1668 1822 2224 2641 2733 3336 3644 5282 5466 6672 7288 7923 10564 10932 14576 15846 17309 21128 21864 31692 34618 42256 43728 51927 63384 69236 103854 126629 126768 138472 207708 253258 276944 379887 415416 506516 759774 830832 1013032 1519548 2026064 2405951 3039096 4811902 6078192 7217853 9623804 14435706 19247608 28871412 38495216 57742824 115485648