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77078528 = 213972
BaseRepresentation
bin1001001100000…
…10000000000000
312101000222212022
410212002000000
5124213003103
611352021012
71624104512
oct446020000
9171028768
1077078528
113a56626a
1221991768
1312c796c7
14a345bb2
156b78138
hex4982000

77078528 has 42 divisors (see below), whose sum is σ = 155753181. Its totient is φ = 38141952.

The previous prime is 77078513. The next prime is 77078569. The reversal of 77078528 is 82587077.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 76877824 + 200704 = 8768^2 + 448^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6208.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 794576 + ... + 794672.

Almost surely, 277078528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77078528

77078528 is an abundant number, since it is smaller than the sum of its proper divisors (78674653).

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

77078528 is an frugal number, since it uses more digits than its factorization.

77078528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 44.

The square root of 77078528 is about 8779.4377952122. The cubic root of 77078528 is about 425.5766621835.

The spelling of 77078528 in words is "seventy-seven million, seventy-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1552 2048 3104 4096 6208 8192 9409 12416 18818 24832 37636 49664 75272 99328 150544 198656 301088 397312 602176 794624 1204352 2408704 4817408 9634816 19269632 38539264 77078528