Search a number
-
+
47309136 = 24371031367
BaseRepresentation
bin1011010001111…
…0000101010000
310022000112221020
42310132011100
544102343021
64405555440
71113056340
oct264360520
9108015836
1047309136
1124783066
1213a15b80
139a55694
1463d6d20
1542477c6
hex2d1e150

47309136 has 80 divisors (see below), whose sum is σ = 141133824. Its totient is φ = 13375872.

The previous prime is 47309117. The next prime is 47309149. The reversal of 47309136 is 63190374.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47309097 and 47309106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33925 + ... + 35291.

Almost surely, 247309136 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 47309136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70566912).

47309136 is an abundant number, since it is smaller than the sum of its proper divisors (93824688).

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

47309136 is a wasteful number, since it uses less digits than its factorization.

47309136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 47309136 is about 6878.1637084327. The cubic root of 47309136 is about 361.6720980966.

The spelling of 47309136 in words is "forty-seven million, three hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 309 336 412 618 721 824 1236 1367 1442 1648 2163 2472 2734 2884 4101 4326 4944 5468 5768 8202 8652 9569 10936 11536 16404 17304 19138 21872 28707 32808 34608 38276 57414 65616 76552 114828 140801 153104 229656 281602 422403 459312 563204 844806 985607 1126408 1689612 1971214 2252816 2956821 3379224 3942428 5913642 6758448 7884856 11827284 15769712 23654568 47309136