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45234980 = 2257973331
BaseRepresentation
bin1010110010001…
…1101100100100
310011010011201122
42230203230210
543040004410
64253313112
71056330260
oct254435444
9104104648
1045234980
112359678a
1213195798
1394aa57b
1460170a0
153e87e55
hex2b23b24

45234980 has 48 divisors (see below), whose sum is σ = 109716096. Its totient is φ = 15344640.

The previous prime is 45234967. The next prime is 45234989. The reversal of 45234980 is 8943254.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 45234980.

It is not an unprimeable number, because it can be changed into a prime (45234989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11915 + ... + 15245.

It is an arithmetic number, because the mean of its divisors is an integer number (2285752).

Almost surely, 245234980 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 45234980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54858048).

45234980 is an abundant number, since it is smaller than the sum of its proper divisors (64481116).

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

45234980 is a wasteful number, since it uses less digits than its factorization.

45234980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 45234980 is about 6725.6955030688. The cubic root of 45234980 is about 356.3073661595.

The spelling of 45234980 in words is "forty-five million, two hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3331 3395 6662 6790 13324 13580 16655 23317 33310 46634 66620 93268 116585 233170 323107 466340 646214 1292428 1615535 2261749 3231070 4523498 6462140 9046996 11308745 22617490 45234980