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87247998 = 23237269487
BaseRepresentation
bin1010011001101…
…00110001111110
320002011122202100
411030310301332
5134313413443
612354005530
72106411225
oct514646176
9202148670
1087247998
1145281792
12252768a6
13150ca446
14b831cbc
1579d63d3
hex5334c7e

87247998 has 48 divisors (see below), whose sum is σ = 195268320. Its totient is φ = 28133568.

The previous prime is 87247987. The next prime is 87247999. The reversal of 87247998 is 89974278.

87247998 is a `hidden beast` number, since 87 + 2 + 479 + 98 = 666.

It is a super-2 number, since 2×872479982 = 15224426310016008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87247999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178911 + ... + 179397.

It is an arithmetic number, because the mean of its divisors is an integer number (4068090).

Almost surely, 287247998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87247998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97634160).

87247998 is an abundant number, since it is smaller than the sum of its proper divisors (108020322).

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

87247998 is a wasteful number, since it uses less digits than its factorization.

87247998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 798 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 87247998 is about 9340.6636809169. The cubic root of 87247998 is about 443.5253937594.

The spelling of 87247998 in words is "eighty-seven million, two hundred forty-seven thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 269 333 487 538 666 807 974 1461 1614 2421 2922 4383 4842 8766 9953 18019 19906 29859 36038 54057 59718 89577 108114 131003 162171 179154 262006 324342 393009 786018 1179027 2358054 4847111 9694222 14541333 29082666 43623999 87247998