Search a number
-
+
77950512 = 243641163
BaseRepresentation
bin1001010010101…
…10111000110000
312102200022000000
410221112320300
5124423404022
611422430000
71634365653
oct451267060
9172608000
1077950512
1140001412
1222132300
13131c3583
14a4d189a
156c9b6ac
hex4a56e30

77950512 has 140 divisors (see below), whose sum is σ = 233386104. Its totient is φ = 25194240.

The previous prime is 77950507. The next prime is 77950549. The reversal of 77950512 is 21505977.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 478143 + ... + 478305.

Almost surely, 277950512 is an apocalyptic number.

77950512 is a gapful number since it is divisible by the number (72) 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 77950512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116693052).

77950512 is an abundant number, since it is smaller than the sum of its proper divisors (155435592).

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

77950512 is a wasteful number, since it uses less digits than its factorization.

77950512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 77950512 is about 8828.9587154998. The cubic root of 77950512 is about 427.1754877995.

The spelling of 77950512 in words is "seventy-seven million, nine hundred fifty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 163 164 216 243 246 324 326 328 369 432 486 489 492 648 652 656 729 738 972 978 984 1107 1296 1304 1458 1467 1476 1944 1956 1968 2214 2608 2916 2934 2952 3321 3888 3912 4401 4428 5832 5868 5904 6642 6683 7824 8802 8856 9963 11664 11736 13203 13284 13366 17604 17712 19926 20049 23472 26406 26568 26732 29889 35208 39609 39852 40098 52812 53136 53464 59778 60147 70416 79218 79704 80196 105624 106928 118827 119556 120294 158436 159408 160392 180441 211248 237654 239112 240588 316872 320784 360882 475308 478224 481176 541323 633744 721764 950616 962352 1082646 1443528 1623969 1901232 2165292 2887056 3247938 4330584 4871907 6495876 8661168 9743814 12991752 19487628 25983504 38975256 77950512