Search a number
-
+
44921952 = 253553109
BaseRepresentation
bin1010101101011…
…1010001100000
310010112021100000
42223113101200
543000000302
64242500000
71053554535
oct253272140
9103467300
1044921952
11233a2589
1213064600
1393cac4a
145d74d8c
153e2531c
hex2ad7460

44921952 has 144 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 14556672.

The previous prime is 44921927. The next prime is 44921953. The reversal of 44921952 is 25912944.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44921953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412074 + ... + 412182.

It is an arithmetic number, because the mean of its divisors is an integer number (945945).

Almost surely, 244921952 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 44921952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

44921952 is an abundant number, since it is smaller than the sum of its proper divisors (91294128).

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

44921952 is a wasteful number, since it uses less digits than its factorization.

44921952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 44921952 is about 6702.3840534544. The cubic root of 44921952 is about 355.4835755911.

The spelling of 44921952 in words is "forty-four million, nine hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 109 144 159 162 212 216 218 243 288 318 324 327 424 432 436 477 486 636 648 654 848 864 872 954 972 981 1272 1296 1308 1431 1696 1744 1908 1944 1962 2544 2592 2616 2862 2943 3488 3816 3888 3924 4293 5088 5232 5724 5777 5886 7632 7776 7848 8586 8829 10464 11448 11554 11772 12879 15264 15696 17172 17331 17658 22896 23108 23544 25758 26487 31392 34344 34662 35316 45792 46216 47088 51516 51993 52974 68688 69324 70632 92432 94176 103032 103986 105948 137376 138648 141264 155979 184864 206064 207972 211896 277296 282528 311958 412128 415944 423792 467937 554592 623916 831888 847584 935874 1247832 1403811 1663776 1871748 2495664 2807622 3743496 4991328 5615244 7486992 11230488 14973984 22460976 44921952