Search a number
-
+
48194832 = 2437231661
BaseRepresentation
bin1011011111011…
…0010100010000
310100200112212210
42313312110100
544314213312
64440552120
71123435500
oct267662420
9110615783
1048194832
1125228544
1214182640
139ca586a
146587a00
15436ee3c
hex2df6510

48194832 has 120 divisors (see below), whose sum is σ = 149728512. Its totient is φ = 13305600.

The previous prime is 48194789. The next prime is 48194843. The reversal of 48194832 is 23849184.

48194832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 72582 + ... + 73242.

Almost surely, 248194832 is an apocalyptic number.

48194832 is a gapful number since it is divisible by the number (42) 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 48194832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74864256).

48194832 is an abundant number, since it is smaller than the sum of its proper divisors (101533680).

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

48194832 is a wasteful number, since it uses less digits than its factorization.

48194832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 704 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 48194832 is about 6942.2497794303. The cubic root of 48194832 is about 363.9151676076.

The spelling of 48194832 in words is "forty-eight million, one hundred ninety-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 661 744 784 868 1176 1302 1322 1488 1519 1736 1983 2352 2604 2644 3038 3472 3966 4557 4627 5208 5288 6076 7932 9114 9254 10416 10576 12152 13881 15864 18228 18508 20491 24304 27762 31728 32389 36456 37016 40982 55524 61473 64778 72912 74032 81964 97167 111048 122946 129556 143437 163928 194334 222096 245892 259112 286874 327856 388668 430311 491784 518224 573748 777336 860622 983568 1004059 1147496 1554672 1721244 2008118 2294992 3012177 3442488 4016236 6024354 6884976 8032472 12048708 16064944 24097416 48194832