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45492408 = 23331317953
BaseRepresentation
bin1010110110001…
…0100010111000
310011121020212000
42231202202320
543121224113
64303021000
71061451633
oct255424270
9104536760
1045492408
1123752135
121329a760
13956a7b0
146082c1a
153ed9373
hex2b628b8

45492408 has 128 divisors (see below), whose sum is σ = 144244800. Its totient is φ = 13160448.

The previous prime is 45492401. The next prime is 45492437. The reversal of 45492408 is 80429454.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45492401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47260 + ... + 48212.

Almost surely, 245492408 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 45492408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72122400).

45492408 is an abundant number, since it is smaller than the sum of its proper divisors (98752392).

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

45492408 is a wasteful number, since it uses less digits than its factorization.

45492408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

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

The square root of 45492408 is about 6744.8060016579. The cubic root of 45492408 is about 356.9819918888.

The spelling of 45492408 in words is "forty-five million, four hundred ninety-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 953 1224 1326 1404 1768 1836 1906 1989 2652 2808 2859 3672 3812 3978 5304 5718 5967 7624 7956 8577 11436 11934 12389 15912 16201 17154 22872 23868 24778 25731 32402 34308 37167 47736 48603 49556 51462 64804 68616 74334 97206 99112 102924 111501 129608 145809 148668 194412 205848 210613 223002 291618 297336 334503 388824 421226 437427 446004 583236 631839 669006 842452 874854 892008 1166472 1263678 1338012 1684904 1749708 1895517 2527356 2676024 3499416 3791034 5054712 5686551 7582068 11373102 15164136 22746204 45492408