Search a number
-
+
45374460 = 2235432409
BaseRepresentation
bin1010110100010…
…1101111111100
310011101021001120
42231011233330
543103440320
64300310540
71060451025
oct255055774
9104337046
1045374460
112368155a
1213242450
139528bc1
146051c4c
153eb4440
hex2b45bfc

45374460 has 72 divisors (see below), whose sum is σ = 130389840. Its totient is φ = 11789568.

The previous prime is 45374449. The next prime is 45374471. The reversal of 45374460 is 6447354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45374449) and next prime (45374471).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110736 + ... + 111144.

It is an arithmetic number, because the mean of its divisors is an integer number (1810970).

Almost surely, 245374460 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 45374460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65194920).

45374460 is an abundant number, since it is smaller than the sum of its proper divisors (85015380).

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

45374460 is a wasteful number, since it uses less digits than its factorization.

45374460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 45374460 is about 6736.0567099751. The cubic root of 45374460 is about 356.6732095732.

The spelling of 45374460 in words is "forty-five million, three hundred seventy-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 409 430 516 645 818 860 1227 1290 1636 1849 2045 2454 2580 3698 4090 4908 5547 6135 7396 8180 9245 11094 12270 17587 18490 22188 24540 27735 35174 36980 52761 55470 70348 87935 105522 110940 175870 211044 263805 351740 527610 756241 1055220 1512482 2268723 3024964 3781205 4537446 7562410 9074892 11343615 15124820 22687230 45374460