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45501144 = 23313413557
BaseRepresentation
bin1010110110010…
…0101011011000
310011121200211120
42231210223120
543122014034
64303125240
71061516253
oct255445330
9104550746
1045501144
1123758757
12132a3820
139571770
14608609a
153edbc49
hex2b64ad8

45501144 has 64 divisors (see below), whose sum is σ = 125526240. Its totient is φ = 13655040.

The previous prime is 45501139. The next prime is 45501167. The reversal of 45501144 is 44110554.

It is a happy number.

45501144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11014 + ... + 14570.

Almost surely, 245501144 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 45501144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62763120).

45501144 is an abundant number, since it is smaller than the sum of its proper divisors (80025096).

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

45501144 is a wasteful number, since it uses less digits than its factorization.

45501144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 45501144 is about 6745.4535800048. The cubic root of 45501144 is about 357.0048410865.

Adding to 45501144 its reverse (44110554), we get a palindrome (89611698).

The spelling of 45501144 in words is "forty-five million, five hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 3557 4264 6396 7114 10671 12792 14228 21342 28456 42684 46241 85368 92482 138723 145837 184964 277446 291674 369928 437511 554892 583348 875022 1109784 1166696 1750044 1895881 3500088 3791762 5687643 7583524 11375286 15167048 22750572 45501144