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376849460 = 225136123761
BaseRepresentation
bin10110011101100…
…100010000110100
3222021002221021102
4112131210100310
51232433140320
6101221105232
712224111321
oct2635442064
9867087242
10376849460
111837a3639
12a6258218
13600c7160
1438099b48
152313e175
hex16764434

376849460 has 48 divisors (see below), whose sum is σ = 866267472. Its totient is φ = 136857600.

The previous prime is 376849393. The next prime is 376849493. The reversal of 376849460 is 64948673.

It can be written as a sum of positive squares in 8 ways, for example, as 99760144 + 277089316 = 9988^2 + 16646^2 .

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, 3980 + ... + 27740.

It is an arithmetic number, because the mean of its divisors is an integer number (18047239).

Almost surely, 2376849460 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 376849460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433133736).

376849460 is an abundant number, since it is smaller than the sum of its proper divisors (489418012).

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

376849460 is a wasteful number, since it uses less digits than its factorization.

376849460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23844 (or 23842 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The square root of 376849460 is about 19412.6108496513. The cubic root of 376849460 is about 722.3083450573.

The spelling of 376849460 in words is "three hundred seventy-six million, eight hundred forty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 3172 3965 7930 15860 23761 47522 95044 118805 237610 308893 475220 617786 1235572 1449421 1544465 2898842 3088930 5797684 6177860 7247105 14494210 18842473 28988420 37684946 75369892 94212365 188424730 376849460