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44689960 = 235721512
BaseRepresentation
bin1010101001111…
…0101000101000
310010002111002201
42222132220220
542420034320
64233505544
71051600300
oct252365050
9103074081
1044689960
1123254257
1212b722b4
139349483
145d14600
153dcb70a
hex2a9ea28

44689960 has 72 divisors (see below), whose sum is σ = 117748890. Its totient is φ = 15220800.

The previous prime is 44689951. The next prime is 44689961. The reversal of 44689960 is 6998644.

It can be written as a sum of positive squares in only one way, i.e., 40220964 + 4468996 = 6342^2 + 2114^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44689960.

It is not an unprimeable number, because it can be changed into a prime (44689961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 295885 + ... + 296035.

Almost surely, 244689960 is an apocalyptic number.

44689960 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 44689960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58874445).

44689960 is an abundant number, since it is smaller than the sum of its proper divisors (73058930).

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

44689960 is a wasteful number, since it uses less digits than its factorization.

44689960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 44689960 is about 6685.0549735960. The cubic root of 44689960 is about 354.8705737279.

The spelling of 44689960 in words is "forty-four million, six hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 151 196 245 280 302 392 490 604 755 980 1057 1208 1510 1960 2114 3020 4228 5285 6040 7399 8456 10570 14798 21140 22801 29596 36995 42280 45602 59192 73990 91204 114005 147980 159607 182408 228010 295960 319214 456020 638428 798035 912040 1117249 1276856 1596070 2234498 3192140 4468996 5586245 6384280 8937992 11172490 22344980 44689960