Search a number
-
+
378054500 = 22531779563
BaseRepresentation
bin10110100010001…
…010011101100100
3222100101011021112
4112202022131210
51233240221000
6101303004152
712240260465
oct2642123544
9870334245
10378054500
11184446a3a
12a6739658
13604297b5
14382d0d6c
15232cb235
hex1688a764

378054500 has 96 divisors (see below), whose sum is σ = 886878720. Its totient is φ = 140275200.

The previous prime is 378054487. The next prime is 378054541. The reversal of 378054500 is 5450873.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 671219 + ... + 671781.

It is an arithmetic number, because the mean of its divisors is an integer number (9238320).

Almost surely, 2378054500 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 378054500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443439360).

378054500 is an abundant number, since it is smaller than the sum of its proper divisors (508824220).

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

378054500 is a wasteful number, since it uses less digits than its factorization.

378054500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 378054500 is about 19443.6236334691. The cubic root of 378054500 is about 723.0774269883.

The spelling of 378054500 in words is "three hundred seventy-eight million, fifty-four thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 79 85 100 125 158 170 250 316 340 395 425 500 563 790 850 1126 1343 1580 1700 1975 2125 2252 2686 2815 3950 4250 5372 5630 6715 7900 8500 9571 9875 11260 13430 14075 19142 19750 26860 28150 33575 38284 39500 44477 47855 56300 67150 70375 88954 95710 134300 140750 167875 177908 191420 222385 239275 281500 335750 444770 478550 671500 756109 889540 957100 1111925 1196375 1512218 2223850 2392750 3024436 3780545 4447700 4785500 5559625 7561090 11119250 15122180 18902725 22238500 37805450 75610900 94513625 189027250 378054500