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47434920 = 23351322339
BaseRepresentation
bin1011010011110…
…0110010101000
310022020221110220
42310330302220
544120404140
64412410040
71114122141
oct264746250
9108227426
1047434920
1124859615
1213a76920
139a9aa00
14642aac8
15426ebd0
hex2d3cca8

47434920 has 96 divisors (see below), whose sum is σ = 154159200. Its totient is φ = 11671296.

The previous prime is 47434897. The next prime is 47434927. The reversal of 47434920 is 2943474.

47434920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47434927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19111 + ... + 21449.

It is an arithmetic number, because the mean of its divisors is an integer number (1605825).

Almost surely, 247434920 is an apocalyptic number.

47434920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47434920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77079600).

47434920 is an abundant number, since it is smaller than the sum of its proper divisors (106724280).

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

47434920 is a wasteful number, since it uses less digits than its factorization.

47434920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 47434920 is about 6887.3013582970. The cubic root of 47434920 is about 361.9923484642.

The spelling of 47434920 in words is "forty-seven million, four hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2339 2535 3380 4056 4678 5070 6760 7017 9356 10140 11695 14034 18712 20280 23390 28068 30407 35085 46780 56136 60814 70170 91221 93560 121628 140340 152035 182442 243256 280680 304070 364884 395291 456105 608140 729768 790582 912210 1185873 1216280 1581164 1824420 1976455 2371746 3162328 3648840 3952910 4743492 5929365 7905820 9486984 11858730 15811640 23717460 47434920