Search a number
-
+
64405044 = 223411171063
BaseRepresentation
bin1111010110101…
…1111000110100
311111012010010000
43311223320310
5112441430134
610220231300
71411301544
oct365537064
9144163100
1064405044
113339a510
121969b530
131045ccc2
1487a7324
1559c2e99
hex3d6be34

64405044 has 120 divisors (see below), whose sum is σ = 194660928. Its totient is φ = 18351360.

The previous prime is 64405031. The next prime is 64405057. The reversal of 64405044 is 44050446.

It is an interprime number because it is at equal distance from previous prime (64405031) and next prime (64405057).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64404999 and 64405017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60057 + ... + 61119.

Almost surely, 264405044 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 64405044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97330464).

64405044 is an abundant number, since it is smaller than the sum of its proper divisors (130255884).

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

64405044 is a wasteful number, since it uses less digits than its factorization.

64405044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 64405044 is about 8025.2753223799. The cubic root of 64405044 is about 400.8420677276.

The spelling of 64405044 in words is "sixty-four million, four hundred five thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 297 306 324 374 396 459 561 594 612 748 891 918 1063 1122 1188 1377 1683 1782 1836 2126 2244 2754 3189 3366 3564 4252 5049 5508 6378 6732 9567 10098 11693 12756 15147 18071 19134 20196 23386 28701 30294 35079 36142 38268 46772 54213 57402 60588 70158 72284 86103 105237 108426 114804 140316 162639 172206 198781 210474 216852 315711 325278 344412 397562 420948 487917 596343 631422 650556 795124 947133 975834 1192686 1262844 1463751 1789029 1894266 1951668 2385372 2927502 3578058 3788532 5367087 5855004 7156116 10734174 16101261 21468348 32202522 64405044