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45379752 = 233111983109
BaseRepresentation
bin1010110100011…
…1000010101000
310011101112022120
42231013002220
543104123002
64300351240
71060502325
oct255070250
9104345276
1045379752
1123685530
1213245520
13952b432
146053b4c
153eb5cbc
hex2b470a8

45379752 has 128 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 12752640.

The previous prime is 45379727. The next prime is 45379757. The reversal of 45379752 is 25797354.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45379757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416274 + ... + 416382.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 245379752 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 45379752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).

45379752 is an abundant number, since it is smaller than the sum of its proper divisors (87676248).

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

45379752 is a wasteful number, since it uses less digits than its factorization.

45379752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its digits is 264600, while the sum is 42.

The square root of 45379752 is about 6736.4495099422. The cubic root of 45379752 is about 356.6870752387.

The spelling of 45379752 in words is "forty-five million, three hundred seventy-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 83 88 109 114 132 152 166 209 218 228 249 264 327 332 418 436 456 498 627 654 664 836 872 913 996 1199 1254 1308 1577 1672 1826 1992 2071 2398 2508 2616 2739 3154 3597 3652 4142 4731 4796 5016 5478 6213 6308 7194 7304 8284 9047 9462 9592 10956 12426 12616 14388 16568 17347 18094 18924 21912 22781 24852 27141 28776 34694 36188 37848 45562 49704 52041 54282 68343 69388 72376 91124 99517 104082 108564 136686 138776 171893 182248 199034 208164 217128 273372 298551 343786 398068 416328 515679 546744 597102 687572 796136 1031358 1194204 1375144 1890823 2062716 2388408 3781646 4125432 5672469 7563292 11344938 15126584 22689876 45379752