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45241380 = 22325376793
BaseRepresentation
bin1010110010010…
…1010000100100
310011010111111200
42230211100210
543040211010
64253402500
71056355032
oct254452044
9104114450
1045241380
11235a0578
1213199430
1394b0462
146019552
153e89cc0
hex2b25424

45241380 has 72 divisors (see below), whose sum is σ = 140961912. Its totient is φ = 11736576.

The previous prime is 45241379. The next prime is 45241387. The reversal of 45241380 is 8314254.

45241380 is a `hidden beast` number, since 4 + 524 + 138 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4485924 + 40755456 = 2118^2 + 6384^2 .

It is not an unprimeable number, because it can be changed into a prime (45241387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3264 + ... + 10056.

Almost surely, 245241380 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 45241380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70480956).

45241380 is an abundant number, since it is smaller than the sum of its proper divisors (95720532).

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

45241380 is a wasteful number, since it uses less digits than its factorization.

45241380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45241380 is about 6726.1712734661. The cubic root of 45241380 is about 356.3241692295.

The spelling of 45241380 in words is "forty-five million, two hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 6793 13586 20379 27172 33965 40758 61137 67930 81516 101895 122274 135860 203790 244548 251341 305685 407580 502682 611370 754023 1005364 1222740 1256705 1508046 2262069 2513410 3016092 3770115 4524138 5026820 7540230 9048276 11310345 15080460 22620690 45241380