Search a number
-
+
44109032 = 231119233137
BaseRepresentation
bin1010100001000…
…0110011101000
310001222222012212
42220100303220
542242442112
64213224252
71043630522
oct250206350
9101888185
1044109032
1122997850
1212932088
1391a4c26
145c02a12
153d14522
hex2a10ce8

44109032 has 128 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 17107200.

The previous prime is 44109007. The next prime is 44109041. The reversal of 44109032 is 23090144.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 44108989 and 44109007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1192118 + ... + 1192154.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 244109032 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 44109032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531200).

44109032 is an abundant number, since it is smaller than the sum of its proper divisors (60953368).

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

44109032 is a wasteful number, since it uses less digits than its factorization.

44109032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 44109032 is about 6641.4630918195. The cubic root of 44109032 is about 353.3261997690.

Adding to 44109032 its reverse (23090144), we get a palindrome (67199176).

The spelling of 44109032 in words is "forty-four million, one hundred nine thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 23 31 37 38 44 46 62 74 76 88 92 124 148 152 184 209 248 253 296 341 407 418 437 506 589 682 703 713 814 836 851 874 1012 1147 1178 1364 1406 1426 1628 1672 1702 1748 2024 2294 2356 2728 2812 2852 3256 3404 3496 4588 4712 4807 5624 5704 6479 6808 7733 7843 9176 9361 9614 12617 12958 13547 15466 15686 16169 18722 19228 21793 25234 25916 26381 27094 30932 31372 32338 37444 38456 43586 50468 51832 52762 54188 61864 62744 64676 74888 87172 100936 105524 108376 129352 149017 174344 177859 211048 239723 290191 298034 355718 479446 501239 580382 596068 711436 958892 1002478 1160764 1192136 1422872 1917784 2004956 2321528 4009912 5513629 11027258 22054516 44109032