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67468050 = 232521319607
BaseRepresentation
bin1000000010101…
…11101100010010
311200221201202200
410001113230102
5114232434200
610410024030
71446316566
oct401275422
9150851680
1067468050
11350a1821
121a718016
1310c93230
148d636a6
155dca800
hex4057b12

67468050 has 144 divisors (see below), whose sum is σ = 205820160. Its totient is φ = 15707520.

The previous prime is 67468043. The next prime is 67468067. The reversal of 67468050 is 5086476.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 67467996 and 67468014.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 110847 + ... + 111453.

Almost surely, 267468050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67468050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910080).

67468050 is an abundant number, since it is smaller than the sum of its proper divisors (138352110).

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

67468050 is a wasteful number, since it uses less digits than its factorization.

67468050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 67468050 is about 8213.8937173548. The cubic root of 67468050 is about 407.0983911338.

The spelling of 67468050 in words is "sixty-seven million, four hundred sixty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 25 26 30 38 39 45 50 57 65 75 78 90 95 114 117 130 150 171 190 195 225 234 247 285 325 342 390 450 475 494 570 585 607 650 741 855 950 975 1170 1214 1235 1425 1482 1710 1821 1950 2223 2470 2850 2925 3035 3642 3705 4275 4446 5463 5850 6070 6175 7410 7891 8550 9105 10926 11115 11533 12350 15175 15782 18210 18525 22230 23066 23673 27315 30350 34599 37050 39455 45525 47346 54630 55575 57665 69198 71019 78910 91050 103797 111150 115330 118365 136575 142038 149929 172995 197275 207594 236730 273150 288325 299858 345990 355095 394550 449787 518985 576650 591825 710190 749645 864975 899574 1037970 1183650 1349361 1499290 1729950 1775475 2248935 2594925 2698722 3550950 3748225 4497870 5189850 6746805 7496450 11244675 13493610 22489350 33734025 67468050