[go: up one dir, main page]

Search a number
-
+
87447906 = 232713197271
BaseRepresentation
bin1010011011001…
…01100101100010
320002112210222100
411031211211202
5134341313111
612402151230
72111203110
oct515454542
9202483870
1087447906
11453a89a7
1225352516
131516a430
14b884ab0
157a25756
hex5365962

87447906 has 96 divisors (see below), whose sum is σ = 235243008. Its totient is φ = 22861440.

The previous prime is 87447859. The next prime is 87447907. The reversal of 87447906 is 60974478.

It is not an unprimeable number, because it can be changed into a prime (87447907) 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 47 ways as a sum of consecutive naturals, for example, 322551 + ... + 322821.

It is an arithmetic number, because the mean of its divisors is an integer number (2450448).

Almost surely, 287447906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87447906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117621504).

87447906 is an abundant number, since it is smaller than the sum of its proper divisors (147795102).

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

87447906 is a wasteful number, since it uses less digits than its factorization.

87447906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 87447906 is about 9351.3585109331. The cubic root of 87447906 is about 443.8638796266.

The spelling of 87447906 in words is "eighty-seven million, four hundred forty-seven thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 197 234 271 273 394 542 546 591 813 819 1182 1379 1626 1638 1773 1897 2439 2561 2758 3523 3546 3794 4137 4878 5122 5691 7046 7683 8274 10569 11382 12411 15366 17073 17927 21138 23049 24661 24822 31707 34146 35854 46098 49322 53387 53781 63414 73983 106774 107562 147966 160161 161343 221949 320322 322686 373709 443898 480483 694031 747418 960966 1121127 1388062 2082093 2242254 3363381 4164186 4858217 6246279 6726762 9716434 12492558 14574651 29149302 43723953 87447906