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86604948 = 223231711093
BaseRepresentation
bin1010010100101…
…11110010010100
320000221222122200
411022113302110
5134132324243
612332124500
72101062363
oct512276224
9200858580
1086604948
1144982641
1225006730
1314c33841
14b7057da
15790aad3
hex5297c94

86604948 has 72 divisors (see below), whose sum is σ = 229372416. Its totient is φ = 27518400.

The previous prime is 86604941. The next prime is 86604971. The reversal of 86604948 is 84940668.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86604941) 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, 78690 + ... + 79782.

It is an arithmetic number, because the mean of its divisors is an integer number (3185728).

Almost surely, 286604948 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 86604948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114686208).

86604948 is an abundant number, since it is smaller than the sum of its proper divisors (142767468).

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

86604948 is a wasteful number, since it uses less digits than its factorization.

86604948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 86604948 is about 9306.1779480085. The cubic root of 86604948 is about 442.4330569994.

The spelling of 86604948 in words is "eighty-six million, six hundred four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 93 124 142 186 213 279 284 372 426 558 639 852 1093 1116 1278 2186 2201 2556 3279 4372 4402 6558 6603 8804 9837 13116 13206 19674 19809 26412 33883 39348 39618 67766 77603 79236 101649 135532 155206 203298 232809 304947 310412 406596 465618 609894 698427 931236 1219788 1396854 2405693 2793708 4811386 7217079 9622772 14434158 21651237 28868316 43302474 86604948