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378735952 = 24713724683
BaseRepresentation
bin10110100100110…
…000110101010000
3222101122210001111
4112210300311100
51233424022302
6101325343104
712246126310
oct2644606520
9871583044
10378735952
11184871a21
12a6a07a94
1360607a1a
143842b440
15233b30d7
hex16930d50

378735952 has 40 divisors (see below), whose sum is σ = 844785216. Its totient is φ = 161124096.

The previous prime is 378735943. The next prime is 378735953. The reversal of 378735952 is 259537873.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 378735896 and 378735905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378735953) 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, 3003 + ... + 27685.

Almost surely, 2378735952 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 378735952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422392608).

378735952 is an abundant number, since it is smaller than the sum of its proper divisors (466049264).

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

378735952 is a wasteful number, since it uses less digits than its factorization.

378735952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24835 (or 24829 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 49.

The square root of 378735952 is about 19461.1395349810. The cubic root of 378735952 is about 723.5116208192.

The spelling of 378735952 in words is "three hundred seventy-eight million, seven hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 959 1096 1918 2192 3836 7672 15344 24683 49366 98732 172781 197464 345562 394928 691124 1382248 2764496 3381571 6763142 13526284 23670997 27052568 47341994 54105136 94683988 189367976 378735952