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45401076 = 22327672689
BaseRepresentation
bin1010110100110…
…0001111110100
310011102121120100
42231030033310
543110313301
64301034100
71060621440
oct255141764
9104377510
1045401076
112369a556
1213255930
139538056
14605b820
153ebc286
hex2b4c3f4

45401076 has 72 divisors (see below), whose sum is σ = 133165760. Its totient is φ = 12773376.

The previous prime is 45401071. The next prime is 45401087. The reversal of 45401076 is 67010454.

It is a super-2 number, since 2×454010762 = 4122515403915552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45401071) 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, 15540 + ... + 18228.

Almost surely, 245401076 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 45401076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66582880).

45401076 is an abundant number, since it is smaller than the sum of its proper divisors (87764684).

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

45401076 is a wasteful number, since it uses less digits than its factorization.

45401076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45401076 is about 6738.0320569139. The cubic root of 45401076 is about 356.7429357184.

The spelling of 45401076 in words is "forty-five million, four hundred one thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1876 2412 2689 2814 4221 5378 5628 8067 8442 10756 16134 16884 18823 24201 32268 37646 48402 56469 75292 96804 112938 169407 180163 225876 338814 360326 540489 677628 720652 1080978 1261141 1621467 2161956 2522282 3242934 3783423 5044564 6485868 7566846 11350269 15133692 22700538 45401076