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45429804 = 22327414397
BaseRepresentation
bin1010110101001…
…1010000101100
310011111001222100
42231103100230
543112223204
64301415100
71061101260
oct255232054
9104431870
1045429804
112370a0a2
121326a490
139548154
1460680a0
153ec5a39
hex2b5342c

45429804 has 72 divisors (see below), whose sum is σ = 134473248. Its totient is φ = 12660480.

The previous prime is 45429803. The next prime is 45429809. The reversal of 45429804 is 40892454.

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

It is not an unprimeable number, because it can be changed into a prime (45429803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8134 + ... + 12530.

It is an arithmetic number, because the mean of its divisors is an integer number (1867684).

Almost surely, 245429804 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 45429804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67236624).

45429804 is an abundant number, since it is smaller than the sum of its proper divisors (89043444).

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

45429804 is a wasteful number, since it uses less digits than its factorization.

45429804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45429804 is about 6740.1634995006. The cubic root of 45429804 is about 356.8181641131.

The spelling of 45429804 in words is "forty-five million, four hundred twenty-nine thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 4397 5166 8794 10332 13191 17588 26382 30779 39573 52764 61558 79146 92337 123116 158292 180277 184674 277011 360554 369348 540831 554022 721108 1081662 1108044 1261939 1622493 2163324 2523878 3244986 3785817 5047756 6489972 7571634 11357451 15143268 22714902 45429804