Search a number
-
+
3626227872 = 25337159113
BaseRepresentation
bin1101100000100011…
…1101100010100000
3100100201101110111000
43120020331202200
524411303242442
61355454352000
7155601266631
oct33010754240
910321343430
103626227872
1115a0a02743
128524bb600
1345a364187
14265859888
15163542d4c
hexd823d8a0

3626227872 has 96 divisors (see below), whose sum is σ = 10725644160. Its totient is φ = 1191697920.

The previous prime is 3626227861. The next prime is 3626227897. The reversal of 3626227872 is 2787226263.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31788 + ... + 90900.

It is an arithmetic number, because the mean of its divisors is an integer number (111725460).

Almost surely, 23626227872 is an apocalyptic number.

3626227872 is a gapful number since it is divisible by the number (32) 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 3626227872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362822080).

3626227872 is an abundant number, since it is smaller than the sum of its proper divisors (7099416288).

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

3626227872 is a wasteful number, since it uses less digits than its factorization.

3626227872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59203 (or 59189 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 3626227872 is about 60218.1689525678. The cubic root of 3626227872 is about 1536.3318374843.

The spelling of 3626227872 in words is "three billion, six hundred twenty-six million, two hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 20448 30672 59113 61344 118226 177339 236452 354678 472904 532017 709356 945808 1064034 1418712 1596051 1891616 2128068 2837424 3192102 4197023 4256136 5674848 6384204 8394046 8512272 12591069 12768408 16788092 17024544 25182138 25536816 33576184 37773207 50364276 51073632 67152368 75546414 100728552 113319621 134304736 151092828 201457104 226639242 302185656 402914208 453278484 604371312 906556968 1208742624 1813113936 3626227872