Search a number
-
+
3552404544 = 263213474413
BaseRepresentation
bin1101001110111101…
…0110010001000000
3100011120110211220200
43103233112101000
524233403421134
61344300205200
7154013640363
oct32357262100
910146424820
103552404544
111563270127
12831839800
13447c87330
14259b200da
1515bd0e499
hexd3bd6440

3552404544 has 84 divisors (see below), whose sum is σ = 10965605196. Its totient is φ = 1093045248.

The previous prime is 3552404539. The next prime is 3552404549. The reversal of 3552404544 is 4454042553.

It is an interprime number because it is at equal distance from previous prime (3552404539) and next prime (3552404549).

It can be written as a sum of positive squares in 2 ways, for example, as 1108090944 + 2444313600 = 33288^2 + 49440^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3552404499 and 3552404508.

It is not an unprimeable number, because it can be changed into a prime (3552404549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229719 + ... + 244694.

It is an arithmetic number, because the mean of its divisors is an integer number (130542919).

Almost surely, 23552404544 is an apocalyptic number.

It is an amenable number.

3552404544 is an abundant number, since it is smaller than the sum of its proper divisors (7413200652).

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

3552404544 is a wasteful number, since it uses less digits than its factorization.

3552404544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474444 (or 474431 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The square root of 3552404544 is about 59602.0515083164. The cubic root of 3552404544 is about 1525.8346475043.

The spelling of 3552404544 in words is "three billion, five hundred fifty-two million, four hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 474413 948826 1423239 1897652 2846478 3795304 4269717 5692956 6167369 7590608 8539434 11385912 12334738 15181216 17078868 18502107 22771824 24669476 30362432 34157736 37004214 45543648 49338952 55506321 68315472 74008428 91087296 98677904 111012642 136630944 148016856 197355808 222025284 273261888 296033712 394711616 444050568 592067424 888101136 1184134848 1776202272 3552404544