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44160090 = 23513199569
BaseRepresentation
bin1010100001110…
…1010001011010
310002002120020220
42220131101122
542301110330
64214300510
71044232422
oct250352132
9102076226
1044160090
1122a22147
1212957736
1391c2240
145c17482
153d24710
hex2a1d45a

44160090 has 64 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 10796544.

The previous prime is 44160073. The next prime is 44160091. The reversal of 44160090 is 9006144.

It is a super-2 number, since 2×441600902 = 3900227097616200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 44160090.

It is not an unprimeable number, because it can be changed into a prime (44160091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77326 + ... + 77894.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 244160090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44160090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

44160090 is an abundant number, since it is smaller than the sum of its proper divisors (70751910).

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

44160090 is a wasteful number, since it uses less digits than its factorization.

44160090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 44160090 is about 6645.3058620352. The cubic root of 44160090 is about 353.4624770198.

The spelling of 44160090 in words is "forty-four million, one hundred sixty thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 199 390 398 569 597 995 1138 1194 1707 1990 2587 2845 2985 3414 5174 5690 5970 7397 7761 8535 12935 14794 15522 17070 22191 25870 36985 38805 44382 73970 77610 110955 113231 221910 226462 339693 566155 679386 1132310 1472003 1698465 2944006 3396930 4416009 7360015 8832018 14720030 22080045 44160090