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172868472 = 23337216333
BaseRepresentation
bin10100100110111…
…00001101111000
3110001021121222000
422103130031320
5323223242342
625053101000
74166233500
oct1223341570
9401247860
10172868472
1189641707
1249a87760
1329a77b4a
1418d5ca00
151029a44c
hexa4dc378

172868472 has 96 divisors (see below), whose sum is σ = 558622800. Its totient is φ = 49387968.

The previous prime is 172868467. The next prime is 172868513. The reversal of 172868472 is 274868271.

172868472 is a `hidden beast` number, since 172 + 8 + 6 + 8 + 472 = 666.

172868472 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 2×1728684722 = 59767017223229568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 2418 + ... + 18750.

Almost surely, 2172868472 is an apocalyptic number.

172868472 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 172868472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279311400).

172868472 is an abundant number, since it is smaller than the sum of its proper divisors (385754328).

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

172868472 is a wasteful number, since it uses less digits than its factorization.

172868472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16362 (or 16345 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 172868472 is about 13147.9455429356. The cubic root of 172868472 is about 557.0642195014.

The spelling of 172868472 in words is "one hundred seventy-two million, eight hundred sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 16333 32666 48999 65332 97998 114331 130664 146997 195996 228662 293994 342993 391992 440991 457324 587988 685986 800317 881982 914648 1028979 1175976 1371972 1600634 1763964 2057958 2400951 2743944 3086937 3201268 3527928 4115916 4801902 6173874 6402536 7202853 8231832 9603804 12347748 14405706 19207608 21608559 24695496 28811412 43217118 57622824 86434236 172868472