Search a number
-
+
87675042 = 237131031559
BaseRepresentation
bin1010011100111…
…01000010100010
320002222100112210
411032131002202
5134421100132
612411102550
72113140240
oct516350242
9202870483
1087675042
1145543614
1225441a56
1315219930
14b903790
157a6cbcc
hex539d0a2

87675042 has 64 divisors (see below), whose sum is σ = 218050560. Its totient is φ = 22883904.

The previous prime is 87675017. The next prime is 87675043. The reversal of 87675042 is 24057678.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (87675043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55459 + ... + 57017.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 287675042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87675042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109025280).

87675042 is an abundant number, since it is smaller than the sum of its proper divisors (130375518).

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

87675042 is a wasteful number, since it uses less digits than its factorization.

87675042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687.

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 87675042 is about 9363.4951807538. The cubic root of 87675042 is about 444.2478427166.

The spelling of 87675042 in words is "eighty-seven million, six hundred seventy-five thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 103 182 206 273 309 546 618 721 1339 1442 1559 2163 2678 3118 4017 4326 4677 8034 9354 9373 10913 18746 20267 21826 28119 32739 40534 56238 60801 65478 121602 141869 160577 283738 321154 425607 481731 851214 963462 1124039 2087501 2248078 3372117 4175002 6262503 6744234 12525006 14612507 29225014 43837521 87675042