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2045315232 = 25332639001
BaseRepresentation
bin111100111101001…
…0000100010100000
312021112121210001000
41321322100202200
513142100041412
6534542112000
7101453615112
oct17172204240
95245553030
102045315232
1195a588674
12490b7b600
132679822cc
141558d33b2
15be8644dc
hex79e908a0

2045315232 has 96 divisors (see below), whose sum is σ = 5988850560. Its totient is φ = 679104000.

The previous prime is 2045315221. The next prime is 2045315257. The reversal of 2045315232 is 2325135402.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2045315196 and 2045315205.

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, 222732 + ... + 231732.

It is an arithmetic number, because the mean of its divisors is an integer number (62383860).

Almost surely, 22045315232 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 2045315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994425280).

2045315232 is an abundant number, since it is smaller than the sum of its proper divisors (3943535328).

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

2045315232 is a wasteful number, since it uses less digits than its factorization.

2045315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283 (or 9269 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2045315232 is about 45225.1614922490. The cubic root of 2045315232 is about 1269.3656765743.

The spelling of 2045315232 in words is "two billion, forty-five million, three hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 263 288 432 526 789 864 1052 1578 2104 2367 3156 4208 4734 6312 7101 8416 9001 9468 12624 14202 18002 18936 25248 27003 28404 36004 37872 54006 56808 72008 75744 81009 108012 113616 144016 162018 216024 227232 243027 288032 324036 432048 486054 648072 864096 972108 1296144 1944216 2367263 2592288 3888432 4734526 7101789 7776864 9469052 14203578 18938104 21305367 28407156 37876208 42610734 56814312 63916101 75752416 85221468 113628624 127832202 170442936 227257248 255664404 340885872 511328808 681771744 1022657616 2045315232