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47913768 = 233572503
BaseRepresentation
bin1011011011000…
…1101100101000
310100011021100000
42312301230220
544231220033
64430543000
71121155200
oct266615450
9110137300
1047913768
1125056361
1214067a60
139c07956
146513400
154316a13
hex2db1b28

47913768 has 144 divisors (see below), whose sum is σ = 156854880. Its totient is φ = 13662432.

The previous prime is 47913757. The next prime is 47913787. The reversal of 47913768 is 86731974.

47913768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 95005 + ... + 95507.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 247913768 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 47913768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

47913768 is an abundant number, since it is smaller than the sum of its proper divisors (108941112).

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

47913768 is a wasteful number, since it uses less digits than its factorization.

47913768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 47913768 is about 6921.9771741895. The cubic root of 47913768 is about 363.2063576355.

The spelling of 47913768 in words is "forty-seven million, nine hundred thirteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 503 504 567 588 648 756 882 972 1006 1134 1176 1323 1509 1512 1701 1764 1944 2012 2268 2646 3018 3402 3521 3528 3969 4024 4527 4536 5292 6036 6804 7042 7938 9054 10563 10584 11907 12072 13581 13608 14084 15876 18108 21126 23814 24647 27162 28168 31689 31752 36216 40743 42252 47628 49294 54324 63378 73941 81486 84504 95067 95256 98588 108648 122229 126756 147882 162972 190134 197176 221823 244458 253512 285201 295764 325944 380268 443646 488916 570402 591528 665469 760536 855603 887292 977832 1140804 1330938 1711206 1774584 1996407 2281608 2661876 3422412 3992814 5323752 5989221 6844824 7985628 11978442 15971256 23956884 47913768