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45862768 = 2474389107
BaseRepresentation
bin1010111011110…
…0111101110000
310012022001220001
42232330331300
543220102033
64314555344
71064553460
oct256747560
9105261801
1045862768
1123985416
1213438b54
13966a243
14613bba0
15405de7d
hex2bbcf70

45862768 has 80 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 18805248.

The previous prime is 45862763. The next prime is 45862781. The reversal of 45862768 is 86726854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45862763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428571 + ... + 428677.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 245862768 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 45862768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

45862768 is an abundant number, since it is smaller than the sum of its proper divisors (60201872).

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

45862768 is a wasteful number, since it uses less digits than its factorization.

45862768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 45862768 is about 6772.2055491546. The cubic root of 45862768 is about 357.9481214423.

The spelling of 45862768 in words is "forty-five million, eight hundred sixty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 89 107 112 172 178 214 301 344 356 428 602 623 688 712 749 856 1204 1246 1424 1498 1712 2408 2492 2996 3827 4601 4816 4984 5992 7654 9202 9523 9968 11984 15308 18404 19046 26789 30616 32207 36808 38092 53578 61232 64414 66661 73616 76184 107156 128828 133322 152368 214312 257656 266644 409489 428624 515312 533288 818978 1066576 1637956 2866423 3275912 5732846 6551824 11465692 22931384 45862768