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45534720 = 293572112
BaseRepresentation
bin1010110110110…
…0111000000000
310011200101220010
42231230320000
543124102340
64303544520
71062016200
oct255547000
9104611803
1045534720
1123780a00
12132bb140
139583b2a
146094400
153ee6b80
hex2b6ce00

45534720 has 360 divisors, whose sum is σ = 186128712. Its totient is φ = 9461760.

The previous prime is 45534703. The next prime is 45534737. The reversal of 45534720 is 2743554.

45534720 = T139 + T140 + ... + T650.

It is an interprime number because it is at equal distance from previous prime (45534703) and next prime (45534737).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 35 ways as a sum of consecutive naturals, for example, 4139515 + ... + 4139525.

Almost surely, 245534720 is an apocalyptic number.

45534720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93064356).

45534720 is an abundant number, since it is smaller than the sum of its proper divisors (140593992).

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

45534720 is a wasteful number, since it uses less digits than its factorization.

45534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 45534720 is about 6747.9419084636. The cubic root of 45534720 is about 357.0926326326.

Multiplying 45534720 by its sum of digits (30), we get a square (1366041600 = 369602).

45534720 divided by its sum of digits (30) gives a square (1517824 = 12322).

The spelling of 45534720 in words is "forty-five million, five hundred thirty-four thousand, seven hundred twenty".