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64448020 = 225713172083
BaseRepresentation
bin1111010111011…
…0011000010100
311111021022001201
43311312120110
5112444314040
610221202244
71411541050
oct365663024
9144238051
1064448020
113341982a
1219700384
1310476730
1487b8c60
1559d0a9a
hex3d76614

64448020 has 96 divisors (see below), whose sum is σ = 176456448. Its totient is φ = 19187712.

The previous prime is 64447993. The next prime is 64448077. The reversal of 64448020 is 2084446.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 64448020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29899 + ... + 31981.

It is an arithmetic number, because the mean of its divisors is an integer number (1838088).

Almost surely, 264448020 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 64448020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88228224).

64448020 is an abundant number, since it is smaller than the sum of its proper divisors (112008428).

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

64448020 is a wasteful number, since it uses less digits than its factorization.

64448020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 64448020 is about 8027.9524164011. The cubic root of 64448020 is about 400.9312054587.

The spelling of 64448020 in words is "sixty-four million, four hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 884 910 1105 1190 1547 1820 2083 2210 2380 3094 4166 4420 6188 7735 8332 10415 14581 15470 20830 27079 29162 30940 35411 41660 54158 58324 70822 72905 108316 135395 141644 145810 177055 189553 247877 270790 291620 354110 379106 460343 495754 541580 708220 758212 920686 947765 991508 1239385 1841372 1895530 2301715 2478770 3222401 3791060 4603430 4957540 6444802 9206860 12889604 16112005 32224010 64448020