Search a number
-
+
48024838854 = 232294710119381
BaseRepresentation
bin101100101110100000…
…001110001011000110
311120221221012120220100
4230232200032023012
51241323324320404
634021242544530
73320046252306
oct545640161306
9146857176810
1048024838854
1119404851273
129383508146
1346b47b1415
14247829d606
1513b128bd39
hexb2e80e2c6

48024838854 has 96 divisors (see below), whose sum is σ = 111026298240. Its totient is φ = 14976864000.

The previous prime is 48024838733. The next prime is 48024838861. The reversal of 48024838854 is 45883842084.

48024838854 is a `hidden beast` number, since 4 + 80 + 2 + 483 + 8 + 85 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 48024838854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2468244 + ... + 2487624.

It is an arithmetic number, because the mean of its divisors is an integer number (1156523940).

Almost surely, 248024838854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48024838854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55513149120).

48024838854 is an abundant number, since it is smaller than the sum of its proper divisors (63001459386).

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

48024838854 is a wasteful number, since it uses less digits than its factorization.

48024838854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19566 (or 19563 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 48024838854 in words is "forty-eight billion, twenty-four million, eight hundred thirty-eight thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 101 141 174 202 261 282 303 423 522 606 846 909 1363 1818 2726 2929 4089 4747 5858 8178 8787 9494 12267 14241 17574 19381 24534 26361 28482 38762 42723 52722 58143 85446 116286 137663 174429 275326 348858 412989 562049 825978 910907 1124098 1238967 1686147 1821814 1957481 2477934 2732721 3372294 3914962 5058441 5465442 5872443 8198163 10116882 11744886 16396326 17617329 26416303 35234658 52832606 56766949 79248909 92001607 113533898 158497818 170300847 184003214 237746727 276004821 340601694 475493454 510902541 552009642 828014463 1021805082 1656028926 2668046603 5336093206 8004139809 16008279618 24012419427 48024838854