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84845088 = 25321511951
BaseRepresentation
bin1010000111010…
…10001000100000
312220122120120200
411003222020200
5133210020323
612230305200
72050112526
oct503521040
9186576520
1084845088
1143990409
12244b8200
13147687c3
14b3a8316
1576ae443
hex50ea220

84845088 has 72 divisors (see below), whose sum is σ = 243000576. Its totient is φ = 28080000.

The previous prime is 84845087. The next prime is 84845093. The reversal of 84845088 is 88054848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (84845081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42513 + ... + 44463.

It is an arithmetic number, because the mean of its divisors is an integer number (3375008).

Almost surely, 284845088 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 84845088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121500288).

84845088 is an abundant number, since it is smaller than the sum of its proper divisors (158155488).

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

84845088 is a wasteful number, since it uses less digits than its factorization.

84845088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 84845088 is about 9211.1393432083. The cubic root of 84845088 is about 439.4156982442.

The spelling of 84845088 in words is "eighty-four million, eight hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 1951 2416 2718 3624 3902 4832 5436 5853 7248 7804 10872 11706 14496 15608 17559 21744 23412 31216 35118 43488 46824 62432 70236 93648 140472 187296 280944 294601 561888 589202 883803 1178404 1767606 2356808 2651409 3535212 4713616 5302818 7070424 9427232 10605636 14140848 21211272 28281696 42422544 84845088