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40064868 = 223547877
BaseRepresentation
bin1001100011010…
…1011101100100
32210101111200000
42120311131210
540224033433
63550421300
7664355124
oct230653544
983344600
1040064868
1120685368
1211501830
1383ba22c
14546cc84
1537b6113
hex2635764

40064868 has 72 divisors (see below), whose sum is σ = 107382912. Its totient is φ = 13055904.

The previous prime is 40064867. The next prime is 40064887. The reversal of 40064868 is 86846004.

40064868 is a `hidden beast` number, since 4 + 0 + 0 + 648 + 6 + 8 = 666.

40064868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40064867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45246 + ... + 46122.

Almost surely, 240064868 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 40064868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53691456).

40064868 is an abundant number, since it is smaller than the sum of its proper divisors (67318044).

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

40064868 is a wasteful number, since it uses less digits than its factorization.

40064868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 40064868 is about 6329.6815085753. The cubic root of 40064868 is about 342.1799606896.

The spelling of 40064868 in words is "forty million, sixty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 243 282 324 423 486 564 846 877 972 1269 1692 1754 2538 2631 3508 3807 5076 5262 7614 7893 10524 11421 15228 15786 22842 23679 31572 41219 45684 47358 71037 82438 94716 123657 142074 164876 213111 247314 284148 370971 426222 494628 741942 852444 1112913 1483884 2225826 3338739 4451652 6677478 10016217 13354956 20032434 40064868