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44689680 = 2432578867
BaseRepresentation
bin1010101001111…
…0100100010000
310010002110201100
42222132210100
542420032210
64233504400
71051566420
oct252364420
9103073640
1044689680
1123254022
1212b72100
1393492c9
145d14480
153dcb5c0
hex2a9e910

44689680 has 120 divisors (see below), whose sum is σ = 171542592. Its totient is φ = 10213632.

The previous prime is 44689679. The next prime is 44689681. The reversal of 44689680 is 8698644.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44689679) and next prime (44689681).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (44689681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607 + ... + 9473.

Almost surely, 244689680 is an apocalyptic number.

44689680 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 44689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85771296).

44689680 is an abundant number, since it is smaller than the sum of its proper divisors (126852912).

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

44689680 is a wasteful number, since it uses less digits than its factorization.

44689680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 44689680 is about 6685.0340313270. The cubic root of 44689680 is about 354.8698325923.

It can be divided in two parts, 44689 and 680, that added together give a square (45369 = 2132).

The spelling of 44689680 in words is "forty-four million, six hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 8867 17734 26601 35468 44335 53202 62069 70936 79803 88670 106404 124138 133005 141872 159606 177340 186207 212808 248276 266010 310345 319212 354680 372414 399015 425616 496552 532020 558621 620690 638424 709360 744828 798030 931035 993104 1064040 1117242 1241380 1276848 1489656 1596060 1862070 2128080 2234484 2482760 2793105 2979312 3192120 3724140 4468968 4965520 5586210 6384240 7448280 8937936 11172420 14896560 22344840 44689680