Search a number
-
+
76993125 = 354113733
BaseRepresentation
bin1001001011011…
…01001001100101
312100212122201020
410211231021211
5124202240000
611350121353
71623300516
oct445551145
9170778636
1076993125
113a508090
1221950259
1312c49881
14a322a0d
156b5cba0
hex496d265

76993125 has 40 divisors (see below), whose sum is σ = 139980192. Its totient is φ = 37320000.

The previous prime is 76993123. The next prime is 76993141. The reversal of 76993125 is 52139967.

It is not a de Polignac number, because 76993125 - 21 = 76993123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76993123) 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 39 ways as a sum of consecutive naturals, for example, 18759 + ... + 22491.

Almost surely, 276993125 is an apocalyptic number.

76993125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76993125 is a deficient number, since it is larger than the sum of its proper divisors (62987067).

76993125 is a wasteful number, since it uses less digits than its factorization.

76993125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3752 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 76993125 is about 8774.5726391660. The cubic root of 76993125 is about 425.4194244654.

The spelling of 76993125 in words is "seventy-six million, nine hundred ninety-three thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 625 825 1375 1875 3733 4125 6875 11199 18665 20625 41063 55995 93325 123189 205315 279975 466625 615945 1026575 1399875 2333125 3079725 5132875 6999375 15398625 25664375 76993125