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45466900 = 22521393271
BaseRepresentation
bin1010110101110…
…0010100010100
310011112221212021
42231130110110
543114420100
64302302524
71061314363
oct255342424
9104487767
1045466900
1123734a56
1213287a44
13955bcbb
1460777da
153ed1a1a
hex2b5c514

45466900 has 36 divisors (see below), whose sum is σ = 99403360. Its totient is φ = 18050400.

The previous prime is 45466877. The next prime is 45466931. The reversal of 45466900 is 966454.

It is a super-2 number, since 2×454669002 = 4134477991220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12265 + ... + 15535.

Almost surely, 245466900 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 45466900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49701680).

45466900 is an abundant number, since it is smaller than the sum of its proper divisors (53936460).

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

45466900 is a wasteful number, since it uses less digits than its factorization.

45466900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 45466900 is about 6742.9147999956. The cubic root of 45466900 is about 356.9152584161.

The spelling of 45466900 in words is "forty-five million, four hundred sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3271 3475 6542 6950 13084 13900 16355 32710 65420 81775 163550 327100 454669 909338 1818676 2273345 4546690 9093380 11366725 22733450 45466900