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77054276 = 221329371381
BaseRepresentation
bin1001001011111…
…00000101000100
312100222202121002
410211330011010
5124211214101
611351312432
71623644015
oct445740504
9170882532
1077054276
113a54a022
122197b718
1312c6b660
14a33b00c
156b70d6b
hex497c144

77054276 has 48 divisors (see below), whose sum is σ = 154397040. Its totient is φ = 33384960.

The previous prime is 77054269. The next prime is 77054279. The reversal of 77054276 is 67245077.

It can be written as a sum of positive squares in 8 ways, for example, as 36100 + 77018176 = 190^2 + 8776^2 .

It is a super-2 number, since 2×770542762 = 11874722899768352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77054279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55106 + ... + 56486.

It is an arithmetic number, because the mean of its divisors is an integer number (3216605).

Almost surely, 277054276 is an apocalyptic number.

It is an amenable number.

77054276 is an abundant number, since it is smaller than the sum of its proper divisors (77342764).

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

77054276 is a wasteful number, since it uses less digits than its factorization.

77054276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 77054276 is about 8778.0565047167. The cubic root of 77054276 is about 425.5320229991.

The spelling of 77054276 in words is "seventy-seven million, fifty-four thousand, two hundred seventy-six".

Divisors: 1 2 4 13 26 29 37 52 58 74 116 148 377 481 754 962 1073 1381 1508 1924 2146 2762 4292 5524 13949 17953 27898 35906 40049 51097 55796 71812 80098 102194 160196 204388 520637 664261 1041274 1328522 1481813 2082548 2657044 2963626 5927252 19263569 38527138 77054276