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45457416 = 2333229919
BaseRepresentation
bin1010110101101…
…0000000001000
310011112110212000
42231122000020
543114114131
64302151000
71061244624
oct255320010
9104473760
1045457416
1123728914
1213282460
1395578a4
146074184
153ecdce6
hex2b5a008

45457416 has 64 divisors (see below), whose sum is σ = 126960000. Its totient is φ = 15069888.

The previous prime is 45457409. The next prime is 45457417. The reversal of 45457416 is 61475454.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45457417) 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, 49005 + ... + 49923.

It is an arithmetic number, because the mean of its divisors is an integer number (1983750).

Almost surely, 245457416 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 45457416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63480000).

45457416 is an abundant number, since it is smaller than the sum of its proper divisors (81502584).

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

45457416 is a wasteful number, since it uses less digits than its factorization.

45457416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1153 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 45457416 is about 6742.2115066201. The cubic root of 45457416 is about 356.8904402172.

The spelling of 45457416 in words is "forty-five million, four hundred fifty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 916 919 1374 1832 1838 2061 2748 2757 3676 4122 5496 5514 6183 7352 8244 8271 11028 12366 16488 16542 22056 24732 24813 33084 49464 49626 66168 99252 198504 210451 420902 631353 841804 1262706 1683608 1894059 2525412 3788118 5050824 5682177 7576236 11364354 15152472 22728708 45457416