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47739468 = 223717101331
BaseRepresentation
bin1011011000011…
…1001001001100
310022211102020110
42312013021030
544210130333
64423120020
71116531060
oct266071114
9108742213
1047739468
1124a47407
1213ba3010
139b7650a
1464a9aa0
1542d0063
hex2d8724c

47739468 has 96 divisors (see below), whose sum is σ = 136539648. Its totient is φ = 12672000.

The previous prime is 47739397. The next prime is 47739469. The reversal of 47739468 is 86493774.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47739469) 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, 144063 + ... + 144393.

It is an arithmetic number, because the mean of its divisors is an integer number (1422288).

Almost surely, 247739468 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 47739468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68269824).

47739468 is an abundant number, since it is smaller than the sum of its proper divisors (88800180).

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

47739468 is a wasteful number, since it uses less digits than its factorization.

47739468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 47739468 is about 6909.3753697422. The cubic root of 47739468 is about 362.7654002524.

It can be divided in two parts, 4773 and 9468, that added together give a palindrome (14241).

The spelling of 47739468 in words is "forty-seven million, seven hundred thirty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 101 102 119 202 204 238 303 331 357 404 476 606 662 707 714 993 1212 1324 1414 1428 1717 1986 2121 2317 2828 3434 3972 4242 4634 5151 5627 6868 6951 8484 9268 10302 11254 12019 13902 16881 20604 22508 24038 27804 33431 33762 36057 39389 48076 66862 67524 72114 78778 100293 118167 133724 144228 157556 200586 234017 236334 401172 468034 472668 568327 702051 936068 1136654 1404102 1704981 2273308 2808204 3409962 3978289 6819924 7956578 11934867 15913156 23869734 47739468