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44989824 = 2731110651
BaseRepresentation
bin1010101110011…
…1110110000000
310010122201102210
42223213312000
543004133244
64244142120
71054256445
oct253476600
9103581383
1044989824
1123439580
1213097940
139422ac9
145d919cc
153e3a4b9
hex2ae7d80

44989824 has 64 divisors (see below), whose sum is σ = 130380480. Its totient is φ = 13632000.

The previous prime is 44989807. The next prime is 44989831. The reversal of 44989824 is 42898944.

44989824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 1102 + ... + 9549.

It is an arithmetic number, because the mean of its divisors is an integer number (2037195).

Almost surely, 244989824 is an apocalyptic number.

44989824 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 44989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65190240).

44989824 is an abundant number, since it is smaller than the sum of its proper divisors (85390656).

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

44989824 is a wasteful number, since it uses less digits than its factorization.

44989824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10679 (or 10667 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 44989824 is about 6707.4454153575. The cubic root of 44989824 is about 355.6625173565.

The spelling of 44989824 in words is "forty-four million, nine hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 10651 21302 31953 42604 63906 85208 117161 127812 170416 234322 255624 340832 351483 468644 511248 681664 702966 937288 1022496 1363328 1405932 1874576 2044992 2811864 3749152 4089984 5623728 7498304 11247456 14996608 22494912 44989824