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45141084 = 22333197139
BaseRepresentation
bin1010110000110…
…0110001011100
310010221101221000
42230030301130
543024003314
64251310300
71055456442
oct254146134
9103841830
1045141084
112353218a
121314b390
139476901
145dd0b92
153e6a209
hex2b0cc5c

45141084 has 96 divisors (see below), whose sum is σ = 122931200. Its totient is φ = 14307840.

The previous prime is 45141079. The next prime is 45141091. The reversal of 45141084 is 48014154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324687 + ... + 324825.

Almost surely, 245141084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45141084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61465600).

45141084 is an abundant number, since it is smaller than the sum of its proper divisors (77790116).

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

45141084 is a wasteful number, since it uses less digits than its factorization.

45141084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 45141084 is about 6718.7114836105. The cubic root of 45141084 is about 356.0606617160.

The spelling of 45141084 in words is "forty-five million, one hundred forty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 97 108 124 139 186 194 278 279 291 372 388 417 556 558 582 834 837 873 1116 1164 1251 1668 1674 1746 2502 2619 3007 3348 3492 3753 4309 5004 5238 6014 7506 8618 9021 10476 12028 12927 13483 15012 17236 18042 25854 26966 27063 36084 38781 40449 51708 53932 54126 77562 80898 81189 108252 116343 121347 155124 161796 162378 232686 242694 324756 364041 417973 465372 485388 728082 835946 1253919 1456164 1671892 2507838 3761757 5015676 7523514 11285271 15047028 22570542 45141084