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45120376 = 2372314779
BaseRepresentation
bin1010110000011…
…1101101111000
310010220100112001
42230013231320
543022323001
64251030344
71055342200
oct254075570
9103810461
1045120376
1123518674
121313b3b4
13946a362
145dc7400
153e64001
hex2b07b78

45120376 has 96 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 18083520.

The previous prime is 45120371. The next prime is 45120379. The reversal of 45120376 is 67302154.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45120371) 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, 571105 + ... + 571183.

It is an arithmetic number, because the mean of its divisors is an integer number (1094400).

Almost surely, 245120376 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 45120376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531200).

45120376 is an abundant number, since it is smaller than the sum of its proper divisors (59942024).

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

45120376 is a wasteful number, since it uses less digits than its factorization.

45120376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 45120376 is about 6717.1702375331. The cubic root of 45120376 is about 356.0062070205.

The spelling of 45120376 in words is "forty-five million, one hundred twenty thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 31 47 49 56 62 79 94 98 124 158 188 196 217 248 316 329 376 392 434 553 632 658 868 1106 1316 1457 1519 1736 2212 2303 2449 2632 2914 3038 3713 3871 4424 4606 4898 5828 6076 7426 7742 9212 9796 10199 11656 12152 14852 15484 17143 18424 19592 20398 25991 29704 30968 34286 40796 51982 68572 71393 81592 103964 115103 120001 137144 142786 181937 207928 230206 240002 285572 363874 460412 480004 571144 727748 805721 920824 960008 1455496 1611442 3222884 5640047 6445768 11280094 22560188 45120376