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45925140 = 223537137151
BaseRepresentation
bin1010111100110…
…0001100010100
310012102020110010
42233030030110
543224101030
64320200220
71065233352
oct257141424
9105366403
1045925140
1123a18268
1213469070
13968c751
1461567d2
1540726b0
hex2bcc314

45925140 has 96 divisors (see below), whose sum is σ = 133910784. Its totient is φ = 11750400.

The previous prime is 45925133. The next prime is 45925151. The reversal of 45925140 is 4152954.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45925098 and 45925107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304065 + ... + 304215.

It is an arithmetic number, because the mean of its divisors is an integer number (1394904).

Almost surely, 245925140 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 45925140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66955392).

45925140 is an abundant number, since it is smaller than the sum of its proper divisors (87985644).

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

45925140 is a wasteful number, since it uses less digits than its factorization.

45925140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 45925140 is about 6776.8089835851. The cubic root of 45925140 is about 358.1103142040.

The spelling of 45925140 in words is "forty-five million, nine hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 137 148 151 185 222 274 302 370 411 444 453 548 555 604 685 740 755 822 906 1110 1370 1510 1644 1812 2055 2220 2265 2740 3020 4110 4530 5069 5587 8220 9060 10138 11174 15207 16761 20276 20687 22348 25345 27935 30414 33522 41374 50690 55870 60828 62061 67044 76035 82748 83805 101380 103435 111740 124122 152070 167610 206870 248244 304140 310305 335220 413740 620610 765419 1241220 1530838 2296257 3061676 3827095 4592514 7654190 9185028 11481285 15308380 22962570 45925140