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86794704 = 24324161241
BaseRepresentation
bin1010010110001…
…10000111010000
320001022121221200
411023012013100
5134204412304
612340151200
72102512533
oct513060720
9201277850
1086794704
1144aa2167
1225098500
1314c9c019
14b754a1a
157946e39
hex52c61d0

86794704 has 120 divisors (see below), whose sum is σ = 253957704. Its totient is φ = 27648000.

The previous prime is 86794667. The next prime is 86794739. The reversal of 86794704 is 40749768.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 86490000 = 552^2 + 9300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86794704.

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 23 ways as a sum of consecutive naturals, for example, 360024 + ... + 360264.

Almost surely, 286794704 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 86794704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126978852).

86794704 is an abundant number, since it is smaller than the sum of its proper divisors (167163000).

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

86794704 is a wasteful number, since it uses less digits than its factorization.

86794704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 348 counting only the distinct ones).

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

The square root of 86794704 is about 9316.3675324667. The cubic root of 86794704 is about 442.7559526596.

The spelling of 86794704 in words is "eighty-six million, seven hundred ninety-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 61 72 82 122 123 144 164 183 241 244 246 328 366 369 482 488 492 549 656 723 732 738 964 976 984 1098 1446 1464 1476 1928 1968 2169 2196 2501 2892 2928 2952 3856 4338 4392 5002 5784 5904 7503 8676 8784 9881 10004 11568 14701 15006 17352 19762 20008 22509 29402 29643 30012 34704 39524 40016 44103 45018 58804 59286 60024 79048 88206 88929 90036 117608 118572 120048 132309 158096 176412 177858 180072 235216 237144 264618 352824 355716 360144 474288 529236 602741 705648 711432 1058472 1205482 1422864 1808223 2116944 2410964 3616446 4821928 5424669 7232892 9643856 10849338 14465784 21698676 28931568 43397352 86794704