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87967242 = 23311213463
BaseRepresentation
bin1010011111001…
…00011000001010
320010112012101000
411033210120022
5140004422432
612421235430
72115465156
oct517443012
9203465330
1087967242
1145723100
1225562b76
13152bc92c
14b97c066
157ac957c
hex53e460a

87967242 has 48 divisors (see below), whose sum is σ = 214885440. Its totient is φ = 26654760.

The previous prime is 87967219. The next prime is 87967273. The reversal of 87967242 is 24276978.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198 + ... + 13265.

It is an arithmetic number, because the mean of its divisors is an integer number (4476780).

Almost surely, 287967242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87967242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107442720).

87967242 is an abundant number, since it is smaller than the sum of its proper divisors (126918198).

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

87967242 is a wasteful number, since it uses less digits than its factorization.

87967242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13496 (or 13479 counting only the distinct ones).

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

The square root of 87967242 is about 9379.0853498622. The cubic root of 87967242 is about 444.7408194915.

It can be divided in two parts, 87967 and 242, that added together give a square (88209 = 2972).

The spelling of 87967242 in words is "eighty-seven million, nine hundred sixty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 13463 26926 40389 80778 121167 148093 242334 296186 363501 444279 727002 888558 1332837 1629023 2665674 3258046 3998511 4887069 7997022 9774138 14661207 29322414 43983621 87967242