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76676733 = 3372331569
BaseRepresentation
bin1001001000111…
…11111001111101
312100021120201000
410210133321331
5124112123413
611335240513
71620512220
oct444377175
9170246630
1076676733
113a311401
1221819139
1312b68863
14a27d5b7
156ae9073
hex491fe7d

76676733 has 64 divisors (see below), whose sum is σ = 140083200. Its totient is φ = 40487040.

The previous prime is 76676731. The next prime is 76676737. The reversal of 76676733 is 33767667.

It is not a de Polignac number, because 76676733 - 21 = 76676731 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76676731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134473 + ... + 135041.

It is an arithmetic number, because the mean of its divisors is an integer number (2188800).

Almost surely, 276676733 is an apocalyptic number.

It is an amenable number.

76676733 is a deficient number, since it is larger than the sum of its proper divisors (63406467).

76676733 is a wasteful number, since it uses less digits than its factorization.

76676733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its digits is 666792, while the sum is 45.

The square root of 76676733 is about 8756.5251669826. The cubic root of 76676733 is about 424.8358914262.

It can be divided in two parts, 7667 and 6733, that added together give a square (14400 = 1202).

The spelling of 76676733 in words is "seventy-six million, six hundred seventy-six thousand, seven hundred thirty-three".

Divisors: 1 3 7 9 21 23 27 31 63 69 93 161 189 207 217 279 483 569 621 651 713 837 1449 1707 1953 2139 3983 4347 4991 5121 5859 6417 11949 13087 14973 15363 17639 19251 35847 39261 44919 52917 91609 107541 117783 123473 134757 158751 274827 353349 370419 405697 476253 824481 1111257 1217091 2473443 2839879 3333771 3651273 8519637 10953819 25558911 76676733