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45311460 = 223517311433
BaseRepresentation
bin1010110011011…
…0010111100100
310011021001122020
42230312113210
543044431320
64255103140
71060066245
oct254662744
9104231566
1045311460
1123639197
1213211ab0
13950631c
146036ccc
153ea0940
hex2b365e4

45311460 has 96 divisors (see below), whose sum is σ = 138765312. Its totient is φ = 10997760.

The previous prime is 45311423. The next prime is 45311467. The reversal of 45311460 is 6411354.

It is a self number, because there is not a number n which added to its sum of digits gives 45311460.

It is not an unprimeable number, because it can be changed into a prime (45311467) 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, 30904 + ... + 32336.

It is an arithmetic number, because the mean of its divisors is an integer number (1445472).

Almost surely, 245311460 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 45311460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69382656).

45311460 is an abundant number, since it is smaller than the sum of its proper divisors (93453852).

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

45311460 is a wasteful number, since it uses less digits than its factorization.

45311460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 45311460 is about 6731.3787592142. The cubic root of 45311460 is about 356.5080592523.

The spelling of 45311460 in words is "forty-five million, three hundred eleven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1433 1581 1860 2108 2635 2866 3162 4299 5270 5732 6324 7165 7905 8598 10540 14330 15810 17196 21495 24361 28660 31620 42990 44423 48722 73083 85980 88846 97444 121805 133269 146166 177692 222115 243610 266538 292332 365415 444230 487220 533076 666345 730830 755191 888460 1332690 1461660 1510382 2265573 2665380 3020764 3775955 4531146 7551910 9062292 11327865 15103820 22655730 45311460