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77348648 = 23133720101
BaseRepresentation
bin1001001110000…
…11111100101000
312101112201101202
410213003330220
5124300124043
611401503332
71626311156
oct447037450
9171481352
1077348648
113a730203
1221aa1b48
1313042640
14a3b63d6
156bcd1b8
hex49c3f28

77348648 has 32 divisors (see below), whose sum is σ = 160413960. Its totient is φ = 34732800.

The previous prime is 77348647. The next prime is 77348651. The reversal of 77348648 is 84684377.

It can be written as a sum of positive squares in 4 ways, for example, as 63075364 + 14273284 = 7942^2 + 3778^2 .

It is not an unprimeable number, because it can be changed into a prime (77348641) 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 7 ways as a sum of consecutive naturals, for example, 6203 + ... + 13898.

Almost surely, 277348648 is an apocalyptic number.

It is an amenable number.

77348648 is an abundant number, since it is smaller than the sum of its proper divisors (83065312).

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

77348648 is a wasteful number, since it uses less digits than its factorization.

77348648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20157 (or 20153 counting only the distinct ones).

The product of its digits is 903168, while the sum is 47.

The square root of 77348648 is about 8794.8080138227. The cubic root of 77348648 is about 426.0732239108.

The spelling of 77348648 in words is "seventy-seven million, three hundred forty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 3848 20101 40202 80404 160808 261313 522626 743737 1045252 1487474 2090504 2974948 5949896 9668581 19337162 38674324 77348648