Search a number
-
+
45240832 = 29713971
BaseRepresentation
bin1010110010010…
…1001000000000
310011010110202101
42230211020000
543040201312
64253400144
71056353320
oct254451000
9104113671
1045240832
11235a011a
1213199054
1394b0130
146019280
153e89a57
hex2b25200

45240832 has 80 divisors (see below), whose sum is σ = 111367872. Its totient is φ = 17879040.

The previous prime is 45240827. The next prime is 45240847. The reversal of 45240832 is 23804254.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 45240832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46107 + ... + 47077.

Almost surely, 245240832 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 45240832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55683936).

45240832 is an abundant number, since it is smaller than the sum of its proper divisors (66127040).

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

45240832 is an equidigital number, since it uses as much as digits as its factorization.

45240832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 45240832 is about 6726.1305369432. The cubic root of 45240832 is about 356.3227305287.

The spelling of 45240832 in words is "forty-five million, two hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 971 1456 1664 1792 1942 2912 3328 3584 3884 5824 6656 6797 7768 11648 12623 13594 15536 23296 25246 27188 31072 46592 50492 54376 62144 88361 100984 108752 124288 176722 201968 217504 248576 353444 403936 435008 497152 706888 807872 870016 1413776 1615744 1740032 2827552 3231488 3480064 5655104 6462976 11310208 22620416 45240832