Search a number
-
+
942430848 = 27337113587
BaseRepresentation
bin111000001011000…
…101101010000000
32102200100110002020
4320023011222000
53412230241343
6233303321440
732232346542
oct7013055200
92380313066
10942430848
11443a83277
12223750280
131203317b8
148d243692
1557b0db83
hex382c5a80

942430848 has 128 divisors (see below), whose sum is σ = 2598160320. Its totient is φ = 302432256.

The previous prime is 942430847. The next prime is 942430849. The reversal of 942430848 is 848034249.

It is an interprime number because it is at equal distance from previous prime (942430847) and next prime (942430849).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (942430843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605211 + ... + 1605797.

Almost surely, 2942430848 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 942430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299080160).

942430848 is an abundant number, since it is smaller than the sum of its proper divisors (1655729472).

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

942430848 is a wasteful number, since it uses less digits than its factorization.

942430848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 942430848 is about 30699.0365972615. The cubic root of 942430848 is about 980.4297878838.

The spelling of 942430848 in words is "nine hundred forty-two million, four hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 113 128 148 192 222 226 296 339 384 444 452 587 592 678 888 904 1174 1184 1356 1761 1776 1808 2348 2368 2712 3522 3552 3616 4181 4696 4736 5424 7044 7104 7232 8362 9392 10848 12543 14088 14208 14464 16724 18784 21696 21719 25086 28176 33448 37568 43392 43438 50172 56352 65157 66331 66896 75136 86876 100344 112704 130314 132662 133792 173752 198993 200688 225408 260628 265324 267584 347504 397986 401376 521256 530648 535168 695008 795972 802752 1042512 1061296 1390016 1591944 1605504 2085024 2122592 2454247 2780032 3183888 4170048 4245184 4908494 6367776 7362741 8340096 8490368 9816988 12735552 14725482 19633976 25471104 29450964 39267952 58901928 78535904 117803856 157071808 235607712 314143616 471215424 942430848