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44923680 = 2533510399
BaseRepresentation
bin1010101101011…
…1101100100000
310010112100201000
42223113230200
543000024210
64242512000
71053562554
oct253275440
9103470630
1044923680
11233a390a
1213065600
1393cb979
145d75864
153e25ac0
hex2ad7b20

44923680 has 96 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 11978496.

The previous prime is 44923643. The next prime is 44923693. The reversal of 44923680 is 8632944.

It is a happy number.

44923680 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 (96).

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

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 15 ways as a sum of consecutive naturals, for example, 880 + ... + 9519.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 244923680 is an apocalyptic number.

44923680 is a gapful number since it is divisible by the number (40) 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 44923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

44923680 is an abundant number, since it is smaller than the sum of its proper divisors (112324320).

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

44923680 is a wasteful number, since it uses less digits than its factorization.

44923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 44923680 is about 6702.5129615690. The cubic root of 44923680 is about 355.4881336280.

The spelling of 44923680 in words is "forty-four million, nine hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 10399 20798 31197 41596 51995 62394 83192 93591 103990 124788 155985 166384 187182 207980 249576 280773 311970 332768 374364 415960 467955 499152 561546 623940 748728 831920 935910 998304 1123092 1247880 1403865 1497456 1663840 1871820 2246184 2495760 2807730 2994912 3743640 4492368 4991520 5615460 7487280 8984736 11230920 14974560 22461840 44923680