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48488232 = 233132329233
BaseRepresentation
bin1011100011110…
…1111100101000
310101020110100110
42320331330220
544403110412
64451134320
71126100052
oct270757450
9111213313
1048488232
1125408a21
12142a43a0
13a079280
1466228d2
1543cbd3c
hex2e3df28

48488232 has 128 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 13719552.

The previous prime is 48488221. The next prime is 48488239. The reversal of 48488232 is 23288484.

It is a super-2 number, since 2×484882322 = 4702217284971648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48488239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207988 + ... + 208220.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 248488232 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 48488232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

48488232 is an abundant number, since it is smaller than the sum of its proper divisors (93034968).

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

48488232 is a wasteful number, since it uses less digits than its factorization.

48488232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 48488232 is about 6963.3491941737. The cubic root of 48488232 is about 364.6521537508.

The spelling of 48488232 in words is "forty-eight million, four hundred eighty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 29 39 46 52 58 69 78 87 92 104 116 138 156 174 184 232 233 276 299 312 348 377 466 552 598 667 696 699 754 897 932 1131 1196 1334 1398 1508 1794 1864 2001 2262 2392 2668 2796 3016 3029 3588 4002 4524 5336 5359 5592 6058 6757 7176 8004 8671 9048 9087 10718 12116 13514 16008 16077 17342 18174 20271 21436 24232 26013 27028 32154 34684 36348 40542 42872 52026 54056 64308 69368 69667 72696 81084 87841 104052 128616 139334 155411 162168 175682 208104 209001 263523 278668 310822 351364 418002 466233 527046 557336 621644 702728 836004 932466 1054092 1243288 1672008 1864932 2020343 2108184 3729864 4040686 6061029 8081372 12122058 16162744 24244116 48488232