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96777054 = 232112379269
BaseRepresentation
bin1011100010010…
…11001101011110
320202002210011100
411301023031132
5144233331204
613334133530
72253406563
oct561131536
9222083140
1096777054
114a6a0040
12284b12a6
131708583a
14cbd286a
158769a39
hex5c4b35e

96777054 has 96 divisors (see below), whose sum is σ = 242611200. Its totient is φ = 27593280.

The previous prime is 96777053. The next prime is 96777061. The reversal of 96777054 is 45077769.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96777053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359632 + ... + 359900.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 296777054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96777054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121305600).

96777054 is an abundant number, since it is smaller than the sum of its proper divisors (145834146).

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

96777054 is a wasteful number, since it uses less digits than its factorization.

96777054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 96777054 is about 9837.5329224354. The cubic root of 96777054 is about 459.1178019365.

The spelling of 96777054 in words is "ninety-six million, seven hundred seventy-seven thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 79 99 138 158 198 207 237 253 269 414 474 506 538 711 759 807 869 1422 1518 1614 1738 1817 2277 2421 2607 2959 3634 4554 4842 5214 5451 5918 6187 7821 8877 10902 12374 15642 16353 17754 18561 19987 21251 26631 32706 37122 39974 42502 53262 55683 59961 63753 68057 111366 119922 127506 136114 179883 191259 204171 233761 359766 382518 408342 467522 488773 612513 701283 977546 1225026 1402566 1466319 2103849 2932638 4207698 4398957 5376503 8797914 10753006 16129509 32259018 48388527 96777054