Search a number
-
+
77433436 = 22171973821
BaseRepresentation
bin1001001110110…
…00101001011100
312101201000201001
410213120221130
5124310332221
611403400044
71630113313
oct447305134
9171630631
1077433436
113a788983
1221b23024
1313072102
14a3d927a
156be8391
hex49d8a5c

77433436 has 48 divisors (see below), whose sum is σ = 153286560. Its totient is φ = 34007040.

The previous prime is 77433409. The next prime is 77433437. The reversal of 77433436 is 63433477.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77433395 and 77433404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77433437) 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 15 ways as a sum of consecutive naturals, for example, 93906 + ... + 94726.

It is an arithmetic number, because the mean of its divisors is an integer number (3193470).

Almost surely, 277433436 is an apocalyptic number.

77433436 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

77433436 is a deficient number, since it is larger than the sum of its proper divisors (75853124).

77433436 is a wasteful number, since it uses less digits than its factorization.

77433436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 932 counting only the distinct ones).

The product of its digits is 127008, while the sum is 37.

The square root of 77433436 is about 8799.6270375511. The cubic root of 77433436 is about 426.2288512998.

The spelling of 77433436 in words is "seventy-seven million, four hundred thirty-three thousand, four hundred thirty-six".

Divisors: 1 2 4 17 19 34 38 68 73 76 146 292 323 646 821 1241 1292 1387 1642 2482 2774 3284 4964 5548 13957 15599 23579 27914 31198 47158 55828 59933 62396 94316 119866 239732 265183 530366 1018861 1060732 1138727 2037722 2277454 4075444 4554908 19358359 38716718 77433436