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45013428 = 22331632557
BaseRepresentation
bin1010101110110…
…1100110110100
310010200220211000
42223231212310
543010412203
64244443300
71054415325
oct253554664
9103626730
1045013428
1123455289
12130a9530
139430785
145d9a44c
153e424a3
hex2aed9b4

45013428 has 48 divisors (see below), whose sum is σ = 117463360. Its totient is φ = 14906592.

The previous prime is 45013417. The next prime is 45013429. The reversal of 45013428 is 82431054.

It is a super-3 number, since 3×450134283 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45013429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16326 + ... + 18882.

Almost surely, 245013428 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 45013428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58731680).

45013428 is an abundant number, since it is smaller than the sum of its proper divisors (72449932).

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

45013428 is a wasteful number, since it uses less digits than its factorization.

45013428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45013428 is about 6709.2047218728. The cubic root of 45013428 is about 355.7247061626.

The spelling of 45013428 in words is "forty-five million, thirteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 163 326 489 652 978 1467 1956 2557 2934 4401 5114 5868 7671 8802 10228 15342 17604 23013 30684 46026 69039 92052 138078 276156 416791 833582 1250373 1667164 2500746 3751119 5001492 7502238 11253357 15004476 22506714 45013428