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67040248 = 231117411093
BaseRepresentation
bin1111111110111…
…1001111111000
311200010222221011
43333233033320
5114130241443
610352523304
71442555422
oct377571770
9150128834
1067040248
113492a370
121a550534
1310b735b2
148c91812
155d43b9d
hex3fef3f8

67040248 has 64 divisors (see below), whose sum is σ = 148871520. Its totient is φ = 27955200.

The previous prime is 67040243. The next prime is 67040261. The reversal of 67040248 is 84204076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67040243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60790 + ... + 61882.

Almost surely, 267040248 is an apocalyptic number.

67040248 is a gapful number since it is divisible by the number (68) 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 67040248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74435760).

67040248 is an abundant number, since it is smaller than the sum of its proper divisors (81831272).

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

67040248 is a wasteful number, since it uses less digits than its factorization.

67040248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 67040248 is about 8187.8109406605. The cubic root of 67040248 is about 406.2361217192.

The spelling of 67040248 in words is "sixty-seven million, forty thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 17 22 34 41 44 68 82 88 136 164 187 328 374 451 697 748 902 1093 1394 1496 1804 2186 2788 3608 4372 5576 7667 8744 12023 15334 18581 24046 30668 37162 44813 48092 61336 74324 89626 96184 148648 179252 204391 358504 408782 492943 761821 817564 985886 1523642 1635128 1971772 3047284 3943544 6094568 8380031 16760062 33520124 67040248