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44148864 = 273176763
BaseRepresentation
bin1010100001101…
…0100010000000
310002001222212010
42220122202000
542300230424
64214132520
71044154614
oct250324200
9102058763
1044148864
1122a14771
1212951140
1391ba0b6
145c13344
153d21229
hex2a1a880

44148864 has 64 divisors (see below), whose sum is σ = 124187040. Its totient is φ = 13848576.

The previous prime is 44148833. The next prime is 44148887. The reversal of 44148864 is 46884144.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3147 + ... + 9909.

Almost surely, 244148864 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 44148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62093520).

44148864 is an abundant number, since it is smaller than the sum of its proper divisors (80038176).

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

44148864 is a wasteful number, since it uses less digits than its factorization.

44148864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797 (or 6785 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 44148864 is about 6644.4611519671. The cubic root of 44148864 is about 353.4325230799.

The spelling of 44148864 in words is "forty-four million, one hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 6763 13526 20289 27052 40578 54104 81156 108208 114971 162312 216416 229942 324624 344913 432832 459884 649248 689826 865664 919768 1298496 1379652 1839536 2596992 2759304 3679072 5518608 7358144 11037216 14716288 22074432 44148864