Search a number
-
+
44119920 = 24351379179
BaseRepresentation
bin1010100001001…
…1011101110000
310002000112011010
42220103131300
542243314140
64213350520
71044004335
oct250233560
9102015133
1044119920
11229a4a49
1212938440
1391a9b80
145c0698c
153d17880
hex2a13770

44119920 has 160 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 10662912.

The previous prime is 44119877. The next prime is 44119921. The reversal of 44119920 is 2991144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44119921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246391 + ... + 246569.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 244119920 is an apocalyptic number.

44119920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44119920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

44119920 is an abundant number, since it is smaller than the sum of its proper divisors (105870480).

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

44119920 is a wasteful number, since it uses less digits than its factorization.

44119920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 44119920 is about 6642.2827401429. The cubic root of 44119920 is about 353.3552693948.

The spelling of 44119920 in words is "forty-four million, one hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 79 80 104 120 130 156 158 179 195 208 237 240 260 312 316 358 390 395 474 520 537 624 632 716 780 790 895 948 1027 1040 1074 1185 1264 1432 1560 1580 1790 1896 2054 2148 2327 2370 2685 2864 3081 3120 3160 3580 3792 4108 4296 4654 4740 5135 5370 6162 6320 6981 7160 8216 8592 9308 9480 10270 10740 11635 12324 13962 14141 14320 15405 16432 18616 18960 20540 21480 23270 24648 27924 28282 30810 34905 37232 41080 42423 42960 46540 49296 55848 56564 61620 69810 70705 82160 84846 93080 111696 113128 123240 139620 141410 169692 183833 186160 212115 226256 246480 279240 282820 339384 367666 424230 551499 558480 565640 678768 735332 848460 919165 1102998 1131280 1470664 1696920 1838330 2205996 2757495 2941328 3393840 3676660 4411992 5514990 7353320 8823984 11029980 14706640 22059960 44119920