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87482934 = 232721171127
BaseRepresentation
bin1010011011011…
…10001000110110
320002121121000200
411031232020312
5134343423214
612403021330
72111410200
oct515561066
9202547020
1087482934
1145422250
122536a846
1315180366
14b893770
157a30d09
hex536e236

87482934 has 144 divisors (see below), whose sum is σ = 245846016. Its totient is φ = 22226400.

The previous prime is 87482903. The next prime is 87482951. The reversal of 87482934 is 43928478.

87482934 is a `hidden beast` number, since 87 + 482 + 93 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87482934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 688779 + ... + 688905.

It is an arithmetic number, because the mean of its divisors is an integer number (1707264).

Almost surely, 287482934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87482934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122923008).

87482934 is an abundant number, since it is smaller than the sum of its proper divisors (158363082).

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

87482934 is a wasteful number, since it uses less digits than its factorization.

87482934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 87482934 is about 9353.2312063800. The cubic root of 87482934 is about 443.9231361952.

The spelling of 87482934 in words is "eighty-seven million, four hundred eighty-two thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 71 77 98 99 126 127 142 147 154 198 213 231 254 294 381 426 441 462 497 539 639 693 762 781 882 889 994 1078 1143 1278 1386 1397 1491 1562 1617 1778 2286 2343 2667 2794 2982 3234 3479 4191 4473 4686 4851 5334 5467 6223 6958 7029 8001 8382 8946 9017 9702 9779 10437 10934 12446 12573 14058 16002 16401 18034 18669 19558 20874 25146 27051 29337 31311 32802 37338 38269 49203 54102 56007 58674 62622 63119 68453 76538 81153 88011 98406 99187 112014 114807 126238 136906 162306 176022 189357 198374 205359 229614 297561 344421 378714 410718 441833 568071 595122 616077 688842 694309 883666 892683 1136142 1232154 1325499 1388618 1785366 2082927 2650998 3976497 4165854 4860163 6248781 7952994 9720326 12497562 14580489 29160978 43741467 87482934