Search a number
-
+
44969904 = 243474957
BaseRepresentation
bin1010101110001…
…0111110110000
310010121201010000
42223202332300
543003014104
64243510000
71054144410
oct253427660
9103551100
1044969904
1123425611
1213088300
139416a15
145d88640
153e34639
hex2ae2fb0

44969904 has 100 divisors (see below), whose sum is σ = 148779664. Its totient is φ = 12845952.

The previous prime is 44969893. The next prime is 44969963. The reversal of 44969904 is 40996944.

It is a self number, because there is not a number n which added to its sum of digits gives 44969904.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6594 + ... + 11550.

Almost surely, 244969904 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 44969904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74389832).

44969904 is an abundant number, since it is smaller than the sum of its proper divisors (103809760).

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

44969904 is a wasteful number, since it uses less digits than its factorization.

44969904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 44969904 is about 6705.9603339119. The cubic root of 44969904 is about 355.6100177569.

It can be divided in two parts, 4496 and 9904, that added together give a square (14400 = 1202).

The spelling of 44969904 in words is "forty-four million, nine hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 4957 9072 9914 14871 19828 29742 34699 39656 44613 59484 69398 79312 89226 104097 118968 133839 138796 178452 208194 237936 267678 277592 312291 356904 401517 416388 535356 555184 624582 713808 803034 832776 936873 1070712 1249164 1606068 1665552 1873746 2141424 2498328 2810619 3212136 3747492 4996656 5621238 6424272 7494984 11242476 14989968 22484952 44969904