Search a number
-
+
171049472 = 29113251
BaseRepresentation
bin10100011001000…
…00001000000000
3102220212012202122
422030200020000
5322242040342
624550103412
74144616336
oct1214401000
9386765678
10171049472
118860a000
124934ab68
132958bc09
1418a07b56
151003b4d2
hexa320200

171049472 has 80 divisors (see below), whose sum is σ = 377413344. Its totient is φ = 77440000.

The previous prime is 171049469. The next prime is 171049481. The reversal of 171049472 is 274940171.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681347 + ... + 681597.

Almost surely, 2171049472 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 171049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188706672).

171049472 is an abundant number, since it is smaller than the sum of its proper divisors (206363872).

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

171049472 is an frugal number, since it uses more digits than its factorization.

171049472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 171049472 is about 13078.5883030241. The cubic root of 171049472 is about 555.1034322824.

The spelling of 171049472 in words is "one hundred seventy-one million, forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 251 256 352 484 502 512 704 968 1004 1331 1408 1936 2008 2662 2761 2816 3872 4016 5324 5522 5632 7744 8032 10648 11044 15488 16064 21296 22088 30371 30976 32128 42592 44176 60742 61952 64256 85184 88352 121484 128512 170368 176704 242968 334081 340736 353408 485936 668162 681472 706816 971872 1336324 1413632 1943744 2672648 3887488 5345296 7774976 10690592 15549952 21381184 42762368 85524736 171049472