Search a number
-
+
47385702 = 2337139643
BaseRepresentation
bin1011010011000…
…0110001100110
310022011102222000
42310300301212
544112320302
64411350130
71113525510
oct264606146
9108142860
1047385702
1124825641
1213a52346
139a814a0
146416bb0
15426031c
hex2d30c66

47385702 has 64 divisors (see below), whose sum is σ = 129615360. Its totient is φ = 12496032.

The previous prime is 47385691. The next prime is 47385703. The reversal of 47385702 is 20758374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47385703) 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, 93 + ... + 9735.

It is an arithmetic number, because the mean of its divisors is an integer number (2025240).

Almost surely, 247385702 is an apocalyptic number.

47385702 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47385702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64807680).

47385702 is an abundant number, since it is smaller than the sum of its proper divisors (82229658).

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

47385702 is a wasteful number, since it uses less digits than its factorization.

47385702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9674 (or 9668 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 47385702 is about 6883.7273333565. The cubic root of 47385702 is about 361.8671052534.

It can be divided in two parts, 4738 and 5702, that added together give a triangular number (10440 = T144).

The spelling of 47385702 in words is "forty-seven million, three hundred eighty-five thousand, seven hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 9643 19286 28929 57858 67501 86787 125359 135002 173574 202503 250718 260361 376077 405006 520722 607509 752154 877513 1128231 1215018 1755026 1822527 2256462 2632539 3384693 3645054 5265078 6769386 7897617 15795234 23692851 47385702