Search a number
-
+
5648104032 = 253292028773
BaseRepresentation
bin1010100001010011…
…10011101001100000
3112120121220102011020
411100221303221200
543031403312112
62332242245440
7256652043414
oct52051635140
915517812136
105648104032
11243923117a
121117656880
136c01ca8bc
143b81aad44
15230cc748c
hex150a73a60

5648104032 has 48 divisors (see below), whose sum is σ = 15337531440. Its totient is φ = 1817779712.

The previous prime is 5648104001. The next prime is 5648104037. The reversal of 5648104032 is 2304018465.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 5648103984 and 5648104002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5648104037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011603 + ... + 1017170.

It is an arithmetic number, because the mean of its divisors is an integer number (319531905).

Almost surely, 25648104032 is an apocalyptic number.

It is an amenable number.

5648104032 is an abundant number, since it is smaller than the sum of its proper divisors (9689427408).

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

5648104032 is a wasteful number, since it uses less digits than its factorization.

5648104032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028815 (or 2028807 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5648104032 is about 75153.8690421192. The cubic root of 5648104032 is about 1780.8782469055.

The spelling of 5648104032 in words is "five billion, six hundred forty-eight million, one hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 2028773 4057546 6086319 8115092 12172638 16230184 24345276 32460368 48690552 58834417 64920736 97381104 117668834 176503251 194762208 235337668 353006502 470675336 706013004 941350672 1412026008 1882701344 2824052016 5648104032