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379769152 = 2672929231
BaseRepresentation
bin10110101000101…
…101000101000000
3222110121021100011
4112220231011000
51234210103102
6101403434304
712260661460
oct2650550500
9873537304
10379769152
11185408204
12a7225994
13608aa099
1438619ba0
15235192d7
hex16a2d140

379769152 has 56 divisors (see below), whose sum is σ = 890991360. Its totient is φ = 157140480.

The previous prime is 379769119. The next prime is 379769153. The reversal of 379769152 is 251967973.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 379769096 and 379769105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379769153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1624 + ... + 27607.

It is an arithmetic number, because the mean of its divisors is an integer number (15910560).

Almost surely, 2379769152 is an apocalyptic number.

379769152 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 379769152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445495680).

379769152 is an abundant number, since it is smaller than the sum of its proper divisors (511222208).

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

379769152 is a wasteful number, since it uses less digits than its factorization.

379769152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29279 (or 29269 counting only the distinct ones).

The product of its digits is 714420, while the sum is 49.

The square root of 379769152 is about 19487.6666638159. Note that the first 5 decimals coincide. The cubic root of 379769152 is about 724.1689419859.

The spelling of 379769152 in words is "three hundred seventy-nine million, seven hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 12992 29231 58462 116924 204617 233848 409234 467696 818468 847699 935392 1636936 1695398 1870784 3273872 3390796 5933893 6547744 6781592 11867786 13095488 13563184 23735572 27126368 47471144 54252736 94942288 189884576 379769152