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64457250 = 23531113601
BaseRepresentation
bin1111010111100…
…0101000100010
311111021202201120
43311320220202
5113000113000
610221313110
71411610004
oct365705042
9144252646
1064457250
1133425760
1219705796
131047a9b0
1487bc374
1559d36a0
hex3d78a22

64457250 has 128 divisors (see below), whose sum is σ = 189326592. Its totient is φ = 14400000.

The previous prime is 64457249. The next prime is 64457287. The reversal of 64457250 is 5275446.

64457250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106950 + ... + 107550.

It is an arithmetic number, because the mean of its divisors is an integer number (1479114).

Almost surely, 264457250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64457250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94663296).

64457250 is an abundant number, since it is smaller than the sum of its proper divisors (124869342).

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

64457250 is a wasteful number, since it uses less digits than its factorization.

64457250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 64457250 is about 8028.5272622069. The cubic root of 64457250 is about 400.9503444919.

It can be divided in two parts, 6445 and 7250, that added together give a triangular number (13695 = T165).

The spelling of 64457250 in words is "sixty-four million, four hundred fifty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 125 130 143 150 165 195 250 275 286 325 330 375 390 429 550 601 650 715 750 825 858 975 1202 1375 1430 1625 1650 1803 1950 2145 2750 3005 3250 3575 3606 4125 4290 4875 6010 6611 7150 7813 8250 9015 9750 10725 13222 15025 15626 17875 18030 19833 21450 23439 30050 33055 35750 39065 39666 45075 46878 53625 66110 75125 78130 85943 90150 99165 107250 117195 150250 165275 171886 195325 198330 225375 234390 257829 330550 390650 429715 450750 495825 515658 585975 826375 859430 976625 991650 1171950 1289145 1652750 1953250 2148575 2479125 2578290 2929875 4297150 4958250 5859750 6445725 10742875 12891450 21485750 32228625 64457250