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44996864 = 281119292
BaseRepresentation
bin1010101110100…
…1100100000000
310010200002002112
42223221210000
543004344424
64244234452
71054316123
oct253514400
9103602075
1044996864
11234438a0
121309ba28
139426083
145d943ba
153e3c60e
hex2ae9900

44996864 has 108 divisors (see below), whose sum is σ = 106819440. Its totient is φ = 18708480.

The previous prime is 44996863. The next prime is 44996879. The reversal of 44996864 is 46869944.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (44996863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1551602 + ... + 1551630.

Almost surely, 244996864 is an apocalyptic number.

44996864 is a gapful number since it is divisible by the number (44) 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 44996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53409720).

44996864 is an abundant number, since it is smaller than the sum of its proper divisors (61822576).

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

44996864 is a wasteful number, since it uses less digits than its factorization.

44996864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 50.

The square root of 44996864 is about 6707.9701847876. The cubic root of 44996864 is about 355.6810677257.

Subtracting 44996864 from its reverse (46869944), we obtain a triangular number (1873080 = T1935).

The spelling of 44996864 in words is "forty-four million, nine hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 64 76 88 116 128 152 176 209 232 256 304 319 352 418 464 551 608 638 704 836 841 928 1102 1216 1276 1408 1672 1682 1856 2204 2432 2552 2816 3344 3364 3712 4408 4864 5104 6061 6688 6728 7424 8816 9251 10208 12122 13376 13456 15979 17632 18502 20416 24244 26752 26912 31958 35264 37004 40832 48488 53504 53824 63916 70528 74008 81664 96976 107648 127832 141056 148016 175769 193952 215296 255664 296032 351538 387904 511328 592064 703076 775808 1022656 1184128 1406152 1551616 2045312 2368256 2812304 4090624 5624608 11249216 22498432 44996864