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672378096 = 243133134759
BaseRepresentation
bin101000000100111…
…010110011110000
31201212012100100110
4220010322303300
52334112044341
6150415221320
722443055665
oct5004726360
91655170313
10672378096
113155a3685
12169217840
13a93ba980
1465427a6c
153e068216
hex2813acf0

672378096 has 80 divisors (see below), whose sum is σ = 1930987520. Its totient is φ = 200206080.

The previous prime is 672378089. The next prime is 672378151. The reversal of 672378096 is 690873276.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1965 + ... + 36723.

It is an arithmetic number, because the mean of its divisors is an integer number (24137344).

Almost surely, 2672378096 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 672378096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965493760).

672378096 is an abundant number, since it is smaller than the sum of its proper divisors (1258609424).

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

672378096 is a wasteful number, since it uses less digits than its factorization.

672378096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34814 (or 34808 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 672378096 is about 25930.2544530516. The cubic root of 672378096 is about 876.0680708555.

The spelling of 672378096 in words is "six hundred seventy-two million, three hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 34759 69518 104277 139036 208554 278072 417108 451867 556144 834216 903734 1077529 1355601 1668432 1807468 2155058 2711202 3232587 3614936 4310116 5422404 6465174 7229872 8620232 10844808 12930348 14007877 17240464 21689616 25860696 28015754 42023631 51721392 56031508 84047262 112063016 168094524 224126032 336189048 672378096