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44940672 = 273275573
BaseRepresentation
bin1010101101101…
…1110110000000
310010120020000100
42223123312000
543001100142
64243122400
71053663240
oct253336600
9103506010
1044940672
1123405657
1213073400
13940661a
145d7bb20
153e2ab4c
hex2adbd80

44940672 has 96 divisors (see below), whose sum is σ = 147822480. Its totient is φ = 12837888.

The previous prime is 44940667. The next prime is 44940677. The reversal of 44940672 is 27604944.

44940672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44940667) and next prime (44940677).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×449406723 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44940677) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5278 + ... + 10850.

Almost surely, 244940672 is an apocalyptic number.

44940672 is a gapful number since it is divisible by the number (42) 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 44940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73911240).

44940672 is an abundant number, since it is smaller than the sum of its proper divisors (102881808).

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

44940672 is a wasteful number, since it uses less digits than its factorization.

44940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 44940672 is about 6703.7804259985. The cubic root of 44940672 is about 355.5329480996.

The spelling of 44940672 in words is "forty-four million, nine hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 5573 8064 11146 16719 22292 33438 39011 44584 50157 66876 78022 89168 100314 117033 133752 156044 178336 200628 234066 267504 312088 351099 356672 401256 468132 535008 624176 702198 713344 802512 936264 1070016 1248352 1404396 1605024 1872528 2140032 2496704 2808792 3210048 3745056 4993408 5617584 6420096 7490112 11235168 14980224 22470336 44940672