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378048928 = 25193731667
BaseRepresentation
bin10110100010001…
…001000110100000
3222100100212122011
4112202021012200
51233240031203
6101302522304
712240235315
oct2642110640
9870325564
10378048928
11184442834
12a6736394
13604270ba
14382ccd0c
15232c976d
hex168891a0

378048928 has 48 divisors (see below), whose sum is σ = 786028320. Its totient is φ = 178488576.

The previous prime is 378048919. The next prime is 378048929. The reversal of 378048928 is 829840873.

It is not an unprimeable number, because it can be changed into a prime (378048929) 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, 225951 + ... + 227617.

It is an arithmetic number, because the mean of its divisors is an integer number (16375590).

Almost surely, 2378048928 is an apocalyptic number.

378048928 is a gapful number since it is divisible by the number (38) 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 378048928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393014160).

378048928 is an abundant number, since it is smaller than the sum of its proper divisors (407979392).

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

378048928 is a wasteful number, since it uses less digits than its factorization.

378048928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 378048928 is about 19443.4803468926. The cubic root of 378048928 is about 723.0738745841.

The spelling of 378048928 in words is "three hundred seventy-eight million, forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 373 608 746 1492 1667 2984 3334 5968 6668 7087 11936 13336 14174 26672 28348 31673 53344 56696 63346 113392 126692 226784 253384 506768 621791 1013536 1243582 2487164 4974328 9948656 11814029 19897312 23628058 47256116 94512232 189024464 378048928