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48423232 = 2611213237
BaseRepresentation
bin1011100010111…
…0000101000000
310101010011012001
42320232011000
544344020412
64445513344
71125406414
oct270560500
9111104161
1048423232
1125374100
1214272854
13a055800
146606d44
1543b7957
hex2e2e140

48423232 has 126 divisors (see below), whose sum is σ = 117460014. Its totient is φ = 19768320.

The previous prime is 48423227. The next prime is 48423239. The reversal of 48423232 is 23232484.

It can be written as a sum of positive squares in 3 ways, for example, as 2509056 + 45914176 = 1584^2 + 6776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48423232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48423239) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1308718 + ... + 1308754.

Almost surely, 248423232 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 48423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58730007).

48423232 is an abundant number, since it is smaller than the sum of its proper divisors (69036782).

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

48423232 is a wasteful number, since it uses less digits than its factorization.

48423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 48423232 is about 6958.6803346612. The cubic root of 48423232 is about 364.4891383264.

It can be divided in two parts, 484 and 23232, that added together give a square (23716 = 1542).

The spelling of 48423232 in words is "forty-eight million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 44 52 64 74 88 104 121 143 148 169 176 208 242 286 296 338 352 407 416 481 484 572 592 676 704 814 832 962 968 1144 1184 1352 1573 1628 1859 1924 1936 2288 2368 2704 3146 3256 3718 3848 3872 4477 4576 5291 5408 6253 6292 6512 7436 7696 7744 8954 9152 10582 10816 12506 12584 13024 14872 15392 17908 20449 21164 25012 25168 26048 29744 30784 35816 40898 42328 50024 50336 58201 59488 68783 71632 81796 84656 100048 100672 116402 118976 137566 143264 163592 169312 200096 232804 275132 286528 327184 338624 400192 465608 550264 654368 756613 931216 1100528 1308736 1513226 1862432 2201056 3026452 3724864 4402112 6052904 12105808 24211616 48423232