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45134292 = 22372591301
BaseRepresentation
bin1010110000101…
…1000111010100
310010221001121110
42230023013110
543023244132
64251215020
71055430600
oct254130724
9103831543
1045134292
1123528075
1213147470
1394737a8
145dcc500
153e681cc
hex2b0b1d4

45134292 has 72 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 12667200.

The previous prime is 45134281. The next prime is 45134311. The reversal of 45134292 is 29243154.

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, 34042 + ... + 35342.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 245134292 is an apocalyptic number.

45134292 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45134292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

45134292 is an abundant number, since it is smaller than the sum of its proper divisors (79545228).

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

45134292 is a wasteful number, since it uses less digits than its factorization.

45134292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1372 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 45134292 is about 6718.2060105358. The cubic root of 45134292 is about 356.0428030006.

It can be divided in two parts, 451 and 34292, that added together give a palindrome (34743).

The spelling of 45134292 in words is "forty-five million, one hundred thirty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1301 1652 2478 2602 2891 3903 4956 5204 5782 7806 8673 9107 11564 15612 17346 18214 27321 34692 36428 54642 63749 76759 109284 127498 153518 191247 230277 254996 307036 382494 460554 537313 764988 921108 1074626 1611939 2149252 3223878 3761191 6447756 7522382 11283573 15044764 22567146 45134292