Search a number
-
+
64834880 = 26511113163
BaseRepresentation
bin1111011101010…
…0110101000000
311111222221201212
43313110311000
5113044204010
610233345252
71415041655
oct367246500
9144887655
1064834880
1133663450
1219868228
1310580846
148879c2c
155a5a505
hex3dd4d40

64834880 has 112 divisors (see below), whose sum is σ = 170956224. Its totient is φ = 23224320.

The previous prime is 64834879. The next prime is 64834901. The reversal of 64834880 is 8843846.

64834880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×648348802 = 8407123329228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 397679 + ... + 397841.

Almost surely, 264834880 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 64834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85478112).

64834880 is an abundant number, since it is smaller than the sum of its proper divisors (106121344).

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

64834880 is a wasteful number, since it uses less digits than its factorization.

64834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 64834880 is about 8052.0109289543. The cubic root of 64834880 is about 401.7318244723.

The spelling of 64834880 in words is "sixty-four million, eight hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 113 160 163 176 220 226 320 326 352 440 452 565 652 704 815 880 904 1130 1243 1304 1630 1760 1793 1808 2260 2486 2608 3260 3520 3586 3616 4520 4972 5216 6215 6520 7172 7232 8965 9040 9944 10432 12430 13040 14344 17930 18080 18419 19888 24860 26080 28688 35860 36160 36838 39776 49720 52160 57376 71720 73676 79552 92095 99440 114752 143440 147352 184190 198880 202609 286880 294704 368380 397760 405218 573760 589408 736760 810436 1013045 1178816 1473520 1620872 2026090 2947040 3241744 4052180 5894080 6483488 8104360 12966976 16208720 32417440 64834880