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64238265 = 355721383
BaseRepresentation
bin1111010100001…
…1001010111001
311110212122100000
43311003022321
5112421111030
610212503213
71410005400
oct365031271
9143778300
1064238265
1133296183
121961ab09
1310402110
148762637
15598d860
hex3d432b9

64238265 has 144 divisors (see below), whose sum is σ = 146397888. Its totient is φ = 26780544.

The previous prime is 64238249. The next prime is 64238299. The reversal of 64238265 is 56283246.

64238265 is a `hidden beast` number, since 642 + 3 + 8 + 2 + 6 + 5 = 666.

It is not a de Polignac number, because 64238265 - 24 = 64238249 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 773914 + ... + 773996.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 264238265 is an apocalyptic number.

64238265 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64238265 is an abundant number, since it is smaller than the sum of its proper divisors (82159623).

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

64238265 is a wasteful number, since it uses less digits than its factorization.

64238265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 64238265 is about 8014.8777283250. The cubic root of 64238265 is about 400.4957706914.

The spelling of 64238265 in words is "sixty-four million, two hundred thirty-eight thousand, two hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 81 83 91 105 117 135 147 189 195 243 245 249 273 315 351 405 415 441 455 567 581 585 637 735 747 819 945 1053 1079 1215 1245 1323 1365 1701 1743 1755 1911 2205 2241 2457 2835 2905 3159 3185 3237 3735 3969 4067 4095 5229 5265 5395 5733 6615 6723 7371 7553 8505 8715 9555 9711 11205 11907 12201 12285 15687 15795 16185 17199 19845 20169 20335 22113 22659 26145 28665 29133 33615 36603 36855 37765 47061 48555 51597 52871 59535 61005 67977 78435 85995 87399 100845 109809 110565 113295 141183 145665 154791 158613 183015 203931 235305 257985 262197 264355 329427 339885 436995 475839 549045 611793 705915 773955 793065 988281 1019655 1310985 1427517 1647135 1835379 2379195 3058965 4282551 4941405 7137585 9176895 12847653 21412755 64238265