Search a number
-
+
67472988 = 223112311499
BaseRepresentation
bin1000000010110…
…00111001011100
311200221222112120
410001120321130
5114233113423
610410102540
71446340152
oct401307134
9150858476
1067472988
11350a5500
121a71aa50
1310c9555b
148d653d2
155dcbee3
hex4058e5c

67472988 has 72 divisors (see below), whose sum is σ = 178752000. Its totient is φ = 19773600.

The previous prime is 67472981. The next prime is 67472989. The reversal of 67472988 is 88927476.

It is a self number, because there is not a number n which added to its sum of digits gives 67472988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67472981) 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 23 ways as a sum of consecutive naturals, for example, 44263 + ... + 45761.

Almost surely, 267472988 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 67472988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376000).

67472988 is an abundant number, since it is smaller than the sum of its proper divisors (111279012).

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

67472988 is a wasteful number, since it uses less digits than its factorization.

67472988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1546 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 67472988 is about 8214.1943001125. The cubic root of 67472988 is about 407.1083227623.

The spelling of 67472988 in words is "sixty-seven million, four hundred seventy-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 1023 1364 1452 1499 2046 2998 3751 4092 4497 5996 7502 8994 11253 15004 16489 17988 22506 32978 45012 46469 49467 65956 92938 98934 139407 181379 185876 197868 278814 362758 511159 544137 557628 725516 1022318 1088274 1533477 2044636 2176548 3066954 5622749 6133908 11245498 16868247 22490996 33736494 67472988