Search a number
-
+
77701998 = 23113747677
BaseRepresentation
bin1001010000110…
…10001101101110
312102012200002210
410220122031232
5124342430443
611413231250
71632312303
oct450321556
9172180083
1077701998
113a951730
1222032526
131313741a
14a4690aa
156c4cc33
hex4a1a36e

77701998 has 64 divisors (see below), whose sum is σ = 178080768. Its totient is φ = 22389120.

The previous prime is 77701957. The next prime is 77701999. The reversal of 77701998 is 89910777.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77701999) 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 31 ways as a sum of consecutive naturals, for example, 114436 + ... + 115112.

It is an arithmetic number, because the mean of its divisors is an integer number (2782512).

Almost surely, 277701998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77701998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89040384).

77701998 is an abundant number, since it is smaller than the sum of its proper divisors (100378770).

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

77701998 is a wasteful number, since it uses less digits than its factorization.

77701998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777.

The product of its (nonzero) digits is 222264, while the sum is 48.

The square root of 77701998 is about 8814.8736803201. The cubic root of 77701998 is about 426.7210451796.

The spelling of 77701998 in words is "seventy-seven million, seven hundred one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 37 47 66 74 94 111 141 222 282 407 517 677 814 1034 1221 1354 1551 1739 2031 2442 3102 3478 4062 5217 7447 10434 14894 19129 22341 25049 31819 38258 44682 50098 57387 63638 75147 95457 114774 150294 190914 275539 350009 551078 700018 826617 1050027 1177303 1653234 2100054 2354606 3531909 7063818 12950333 25900666 38850999 77701998