Search a number
-
+
378936992 = 2572673607
BaseRepresentation
bin10110100101100…
…001111010100000
3222102000222211102
4112211201322200
51234001440432
6101333533532
712250624400
oct2645417240
9872028742
10378936992
11184999a75
12a6aa42a8
1360678395
1438480800
1523402962
hex16961ea0

378936992 has 72 divisors (see below), whose sum is σ = 881030304. Its totient is φ = 159933312.

The previous prime is 378936989. The next prime is 378937001. The reversal of 378936992 is 299639873.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 11 ways as a sum of consecutive naturals, for example, 103253 + ... + 106859.

It is an arithmetic number, because the mean of its divisors is an integer number (12236532).

Almost surely, 2378936992 is an apocalyptic number.

378936992 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 378936992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440515152).

378936992 is an abundant number, since it is smaller than the sum of its proper divisors (502093312).

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

378936992 is a wasteful number, since it uses less digits than its factorization.

378936992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3683 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 56.

The square root of 378936992 is about 19466.3040148869. The cubic root of 378936992 is about 723.6396159271.

The spelling of 378936992 in words is "three hundred seventy-eight million, nine hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 112 134 196 224 268 392 469 536 784 938 1072 1568 1876 2144 3283 3607 3752 6566 7214 7504 13132 14428 15008 25249 26264 28856 50498 52528 57712 100996 105056 115424 176743 201992 241669 353486 403984 483338 706972 807968 966676 1413944 1691683 1933352 2827888 3383366 3866704 5655776 6766732 7733408 11841781 13533464 23683562 27066928 47367124 54133856 94734248 189468496 378936992