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3750264 = 2332721063
BaseRepresentation
bin1110010011100101111000
321001112101200
432103211320
51430002024
6212214200
743606500
oct16234570
97045350
103750264
1121316a1
12130a360
13a13cbb
146d8a00
154e12c9
hex393978

3750264 has 72 divisors (see below), whose sum is σ = 11826360. Its totient is φ = 1070496.

The previous prime is 3750247. The next prime is 3750269. The reversal of 3750264 is 4620573.

It is a happy number.

3750264 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

3750264 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3750269) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2997 + ... + 4059.

It is an arithmetic number, because the mean of its divisors is an integer number (164255).

Almost surely, 23750264 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 3750264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913180).

3750264 is an abundant number, since it is smaller than the sum of its proper divisors (8076096).

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

3750264 is a wasteful number, since it uses less digits than its factorization.

3750264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3750264 is about 1936.5598364109. The cubic root of 3750264 is about 155.3652710316.

The spelling of 3750264 in words is "three million, seven hundred fifty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1063 1176 1764 2126 3189 3528 4252 6378 7441 8504 9567 12756 14882 19134 22323 25512 29764 38268 44646 52087 59528 66969 76536 89292 104174 133938 156261 178584 208348 267876 312522 416696 468783 535752 625044 937566 1250088 1875132 3750264