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45503406 = 232131631193
BaseRepresentation
bin1010110110010…
…1001110101110
310011121210221100
42231211032232
543122102111
64303143530
71061525664
oct255451656
9104553840
1045503406
112375a423
12132a4ba6
1395727c0
146086c34
153edc756
hex2b653ae

45503406 has 48 divisors (see below), whose sum is σ = 106915536. Its totient is φ = 13903488.

The previous prime is 45503387. The next prime is 45503413. The reversal of 45503406 is 60430554.

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 45503406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37546 + ... + 38738.

It is an arithmetic number, because the mean of its divisors is an integer number (2227407).

Almost surely, 245503406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45503406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53457768).

45503406 is an abundant number, since it is smaller than the sum of its proper divisors (61412130).

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

45503406 is a wasteful number, since it uses less digits than its factorization.

45503406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45503406 is about 6745.6212464087. The cubic root of 45503406 is about 357.0107569199.

The spelling of 45503406 in words is "forty-five million, five hundred three thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 234 326 489 978 1193 1467 2119 2386 2934 3579 4238 6357 7158 10737 12714 15509 19071 21474 31018 38142 46527 93054 139581 194459 279162 388918 583377 1166754 1750131 2527967 3500262 5055934 7583901 15167802 22751703 45503406