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45030464 = 26411312
BaseRepresentation
bin1010101111000…
…1110001000000
310010201210011222
42223301301000
543011433324
64245054212
71054516103
oct253616100
9103653158
1045030464
1123467066
12130b7368
13943845b
145da273a
153e4755e
hex2af1c40

45030464 has 42 divisors (see below), whose sum is σ = 92240862. Its totient is φ = 21798400.

The previous prime is 45030463. The next prime is 45030487. The reversal of 45030464 is 46403054.

It can be written as a sum of positive squares in only one way, i.e., 27457600 + 17572864 = 5240^2 + 4192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45030463) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 343679 + ... + 343809.

It is an arithmetic number, because the mean of its divisors is an integer number (2196211).

Almost surely, 245030464 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 45030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46120431).

45030464 is an abundant number, since it is smaller than the sum of its proper divisors (47210398).

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

45030464 is an equidigital number, since it uses as much as digits as its factorization.

45030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 45030464 is about 6710.4742008296. The cubic root of 45030464 is about 355.7695769342.

The spelling of 45030464 in words is "forty-five million, thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 131 164 262 328 524 656 1048 1312 2096 2624 4192 5371 8384 10742 17161 21484 34322 42968 68644 85936 137288 171872 274576 343744 549152 703601 1098304 1407202 2814404 5628808 11257616 22515232 45030464