Search a number
-
+
77348020 = 2253867401
BaseRepresentation
bin1001001110000…
…11110010110100
312101112200112111
410213003302310
5124300114040
611401500404
71626306301
oct447036264
9171480474
1077348020
113a72a792
1221aa1704
1313042279
14a3b60a8
156bccdea
hex49c3cb4

77348020 has 12 divisors (see below), whose sum is σ = 162430884. Its totient is φ = 30939200.

The previous prime is 77347981. The next prime is 77348023. The reversal of 77348020 is 2084377.

It can be written as a sum of positive squares in 2 ways, for example, as 8225424 + 69122596 = 2868^2 + 8314^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77348023) 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 3 ways as a sum of consecutive naturals, for example, 1933681 + ... + 1933720.

It is an arithmetic number, because the mean of its divisors is an integer number (13535907).

Almost surely, 277348020 is an apocalyptic number.

It is an amenable number.

77348020 is an abundant number, since it is smaller than the sum of its proper divisors (85082864).

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

77348020 is a wasteful number, since it uses less digits than its factorization.

77348020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867410 (or 3867408 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 77348020 is about 8794.7723108674. The cubic root of 77348020 is about 426.0720707999.

The spelling of 77348020 in words is "seventy-seven million, three hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 3867401 7734802 15469604 19337005 38674010 77348020