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87311916 = 223219127649
BaseRepresentation
bin1010011010001…
…00011000101100
320002021220102200
411031010120230
5134322440131
612355221500
72110065456
oct515043054
9202256380
1087311916
114531580a
12252a7890
1315120573
14b84b2d6
1579ea2e6
hex534462c

87311916 has 36 divisors (see below), whose sum is σ = 232323000. Its totient is φ = 27571968.

The previous prime is 87311911. The next prime is 87311927. The reversal of 87311916 is 61911378.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×873119163 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87311911) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 63141 + ... + 64508.

Almost surely, 287311916 is an apocalyptic number.

It is an amenable number.

87311916 is an abundant number, since it is smaller than the sum of its proper divisors (145011084).

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

87311916 is a wasteful number, since it uses less digits than its factorization.

87311916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127678 (or 127673 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 87311916 is about 9344.0845458504. The cubic root of 87311916 is about 443.6336764199.

The spelling of 87311916 in words is "eighty-seven million, three hundred eleven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 127649 255298 382947 510596 765894 1148841 1531788 2297682 2425331 4595364 4850662 7275993 9701324 14551986 21827979 29103972 43655958 87311916