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87173292 = 22319433883
BaseRepresentation
bin1010011001000…
…10100010101100
320002000212021110
411030202202230
5134304021132
612352232020
72105650353
oct514424254
9202025243
1087173292
1145230648
122523b610
13150a243b
14b81299a
1579be1cc
hex53228ac

87173292 has 48 divisors (see below), whose sum is σ = 214847360. Its totient is φ = 27433728.

The previous prime is 87173291. The next prime is 87173293. The reversal of 87173292 is 29237178.

It is an interprime number because it is at equal distance from previous prime (87173291) and next prime (87173293).

It is a self number, because there is not a number n which added to its sum of digits gives 87173292.

It is not an unprimeable number, because it can be changed into a prime (87173291) 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 15 ways as a sum of consecutive naturals, for example, 98283 + ... + 99165.

Almost surely, 287173292 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 87173292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107423680).

87173292 is an abundant number, since it is smaller than the sum of its proper divisors (127674068).

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

87173292 is a wasteful number, since it uses less digits than its factorization.

87173292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1340 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 87173292 is about 9336.6638581455. The cubic root of 87173292 is about 443.3987682386.

The spelling of 87173292 in words is "eighty-seven million, one hundred seventy-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 433 866 883 1299 1732 1766 2598 2649 3532 5196 5298 8227 10596 16454 16777 24681 32908 33554 49362 50331 67108 98724 100662 201324 382339 764678 1147017 1529356 2294034 4588068 7264441 14528882 21793323 29057764 43586646 87173292