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45265220 = 2257211131719
BaseRepresentation
bin1010110010101…
…1000101000100
310011011201012122
42230223011010
543041441340
64254105112
71056514400
oct254530504
9104151178
1045265220
1123607480
12131ab198
1394bb270
146024100
153e91db5
hex2b2b144

45265220 has 288 divisors, whose sum is σ = 144789120. Its totient is φ = 11612160.

The previous prime is 45265217. The next prime is 45265247. The reversal of 45265220 is 2256254.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 45265220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2382371 + ... + 2382389.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 245265220 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 45265220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

45265220 is an abundant number, since it is smaller than the sum of its proper divisors (99523900).

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

45265220 is a wasteful number, since it uses less digits than its factorization.

45265220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 45265220 is about 6727.9432221148. The cubic root of 45265220 is about 356.3867467233.

The spelling of 45265220 in words is "forty-five million, two hundred sixty-five thousand, two hundred twenty".