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172144752 = 24313221221
BaseRepresentation
bin10100100001010…
…11100001110000
3102222220212012120
422100223201300
5323032113002
625025354240
74160130513
oct1220534160
9388825176
10172144752
118919799a
1249798980
1329883600
1418c10d7a
15101a5cbc
hexa42b870

172144752 has 60 divisors (see below), whose sum is σ = 481569624. Its totient is φ = 52965120.

The previous prime is 172144741. The next prime is 172144759. The reversal of 172144752 is 257441271.

It is a super-2 number, since 2×1721447522 = 59267631282283008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172144759) 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, 2499 + ... + 18722.

Almost surely, 2172144752 is an apocalyptic number.

172144752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172144752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240784812).

172144752 is an abundant number, since it is smaller than the sum of its proper divisors (309424872).

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

172144752 is a wasteful number, since it uses less digits than its factorization.

172144752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21258 (or 21239 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 172144752 is about 13120.3945062639. The cubic root of 172144752 is about 556.2857423988.

The spelling of 172144752 in words is "one hundred seventy-two million, one hundred forty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 8112 21221 42442 63663 84884 127326 169768 254652 275873 339536 509304 551746 827619 1018608 1103492 1655238 2206984 3310476 3586349 4413968 6620952 7172698 10759047 13241904 14345396 21518094 28690792 43036188 57381584 86072376 172144752