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172087542 = 232115914731
BaseRepresentation
bin10100100000111…
…01100011110110
3102222210221201200
422100131203312
5323023300132
625024233330
74156501644
oct1220354366
9388727650
10172087542
1189158a10
124976b846
1329863563
1418bd8194
1510193d7c
hexa41d8f6

172087542 has 48 divisors (see below), whose sum is σ = 413674560. Its totient is φ = 51260400.

The previous prime is 172087523. The next prime is 172087607. The reversal of 172087542 is 245780271.

172087542 is a `hidden beast` number, since 17 + 20 + 87 + 542 = 666.

172087542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1720875422 = 59228244223203528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 172087497 and 172087506.

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, 4317 + ... + 19047.

It is an arithmetic number, because the mean of its divisors is an integer number (8618220).

Almost surely, 2172087542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172087542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206837280).

172087542 is an abundant number, since it is smaller than the sum of its proper divisors (241587018).

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

172087542 is a wasteful number, since it uses less digits than its factorization.

172087542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14809 (or 14806 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 172087542 is about 13118.2141315043. The cubic root of 172087542 is about 556.2241108685.

The spelling of 172087542 in words is "one hundred seventy-two million, eighty-seven thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3894 5841 11682 14731 29462 44193 88386 132579 162041 265158 324082 486123 869129 972246 1458369 1738258 2607387 2916738 5214774 7822161 9560419 15644322 19120838 28681257 57362514 86043771 172087542