Search a number
-
+
77649978 = 23723312593
BaseRepresentation
bin1001010000011…
…01100000111010
312102010000202010
410220031200322
5124334244403
611412150350
71632004530
oct450154072
9172100663
1077649978
113a91663a
12220083b6
1313119843
14a454150
156c3c603
hex4a0d83a

77649978 has 64 divisors (see below), whose sum is σ = 191250432. Its totient is φ = 20528640.

The previous prime is 77649967. The next prime is 77649983. The reversal of 77649978 is 87994677.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28650 + ... + 31242.

It is an arithmetic number, because the mean of its divisors is an integer number (2988288).

Almost surely, 277649978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77649978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95625216).

77649978 is an abundant number, since it is smaller than the sum of its proper divisors (113600454).

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

77649978 is a wasteful number, since it uses less digits than its factorization.

77649978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659.

The product of its digits is 5334336, while the sum is 57.

The square root of 77649978 is about 8811.9224917154. The cubic root of 77649978 is about 426.6257967309.

The spelling of 77649978 in words is "seventy-seven million, six hundred forty-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 69 93 138 161 186 217 322 434 483 651 713 966 1302 1426 2139 2593 4278 4991 5186 7779 9982 14973 15558 18151 29946 36302 54453 59639 80383 108906 119278 160766 178917 241149 357834 417473 482298 562681 834946 1125362 1252419 1688043 1848809 2504838 3376086 3697618 5546427 11092854 12941663 25883326 38824989 77649978