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44521164 = 22341759137
BaseRepresentation
bin1010100111010…
…1011011001100
310002202220120000
42221311123030
542344134124
64230124300
71050265212
oct251653314
9102686500
1044521164
1123149456
1212ab0690
1392ba6ac
145caccb2
153d966c9
hex2a756cc

44521164 has 120 divisors (see below), whose sum is σ = 126236880. Its totient is φ = 13630464.

The previous prime is 44521151. The next prime is 44521231. The reversal of 44521164 is 46112544.

44521164 is a `hidden beast` number, since 445 + 211 + 6 + 4 = 666.

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

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, 324904 + ... + 325040.

It is an arithmetic number, because the mean of its divisors is an integer number (1051974).

Almost surely, 244521164 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 44521164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63118440).

44521164 is an abundant number, since it is smaller than the sum of its proper divisors (81715716).

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

44521164 is a wasteful number, since it uses less digits than its factorization.

44521164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 44521164 is about 6672.4181523643. The cubic root of 44521164 is about 354.4232226306.

It can be divided in two parts, 445 and 21164, that added together give a square (21609 = 1472).

The spelling of 44521164 in words is "forty-four million, five hundred twenty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 59 68 81 102 108 118 137 153 162 177 204 236 274 306 324 354 411 459 531 548 612 708 822 918 1003 1062 1233 1377 1593 1644 1836 2006 2124 2329 2466 2754 3009 3186 3699 4012 4658 4779 4932 5508 6018 6372 6987 7398 8083 9027 9316 9558 11097 12036 13974 14796 16166 18054 19116 20961 22194 24249 27081 27948 32332 36108 41922 44388 48498 54162 62883 72747 81243 83844 96996 108324 125766 137411 145494 162486 188649 218241 251532 274822 290988 324972 377298 412233 436482 549644 654723 754596 824466 872964 1236699 1309446 1648932 2473398 2618892 3710097 4946796 7420194 11130291 14840388 22260582 44521164