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116576448 = 2634159251
BaseRepresentation
bin1101111001011…
…01000011000000
322010100200211020
412330231003000
5214320421243
615322345440
72613612012
oct674550300
9263320736
10116576448
115a89367a
123305b280
131b1c8861
14116a81b2
15a37b283
hex6f2d0c0

116576448 has 112 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 37120000.

The previous prime is 116576437. The next prime is 116576479. The reversal of 116576448 is 844675611.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 464323 + ... + 464573.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2116576448 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 116576448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

116576448 is an abundant number, since it is smaller than the sum of its proper divisors (206023872).

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

116576448 is a wasteful number, since it uses less digits than its factorization.

116576448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 116576448 is about 10797.0573768967. The cubic root of 116576448 is about 488.5064168676.

The spelling of 116576448 in words is "one hundred sixteen million, five hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 59 64 82 96 118 123 164 177 192 236 246 251 328 354 472 492 502 656 708 753 944 984 1004 1312 1416 1506 1888 1968 2008 2419 2624 2832 3012 3776 3936 4016 4838 5664 6024 7257 7872 8032 9676 10291 11328 12048 14514 14809 16064 19352 20582 24096 29028 29618 30873 38704 41164 44427 48192 58056 59236 61746 77408 82328 88854 116112 118472 123492 154816 164656 177708 232224 236944 246984 329312 355416 464448 473888 493968 607169 658624 710832 947776 987936 1214338 1421664 1821507 1975872 2428676 2843328 3643014 4857352 7286028 9714704 14572056 19429408 29144112 38858816 58288224 116576448