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45376452 = 2232113947
BaseRepresentation
bin1010110100011…
…0001111000100
310011101100210100
42231012033010
543104021302
64300324100
71060456602
oct255061704
9104340710
1045376452
1123683000
1213243630
139529a94
146052872
153eb4d1c
hex2b463c4

45376452 has 72 divisors (see below), whose sum is σ = 126296352. Its totient is φ = 13735920.

The previous prime is 45376439. The next prime is 45376469. The reversal of 45376452 is 25467354.

45376452 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 645 + 2 = 666.

It is a super-2 number, since 2×453764522 = 4118044792216608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 47443 + ... + 48389.

It is an arithmetic number, because the mean of its divisors is an integer number (1754116).

Almost surely, 245376452 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 45376452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63148176).

45376452 is an abundant number, since it is smaller than the sum of its proper divisors (80919900).

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

45376452 is a wasteful number, since it uses less digits than its factorization.

45376452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 963 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 45376452 is about 6736.2045693402. The cubic root of 45376452 is about 356.6784289752.

The spelling of 45376452 in words is "forty-five million, three hundred seventy-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 947 1089 1331 1452 1894 2178 2662 2841 3788 3993 4356 5324 5682 7986 8523 10417 11364 11979 15972 17046 20834 23958 31251 34092 41668 47916 62502 93753 114587 125004 187506 229174 343761 375012 458348 687522 1031283 1260457 1375044 2062566 2520914 3781371 4125132 5041828 7562742 11344113 15125484 22688226 45376452