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96765942 = 23713315717
BaseRepresentation
bin1011100010010…
…00011111110110
320202002012220210
411301020133312
5144233002232
613334010250
72253332310
oct561103766
9222065823
1096765942
114a692759
12284a6986
1317080770
14cbcc7b0
1587665cc
hex5c487f6

96765942 has 64 divisors (see below), whose sum is σ = 245919744. Its totient is φ = 24693120.

The previous prime is 96765931. The next prime is 96765943. The reversal of 96765942 is 24956769.

It is a super-2 number, since 2×967659422 = 18727295062294728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96765891 and 96765900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96765943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14068 + ... + 19784.

It is an arithmetic number, because the mean of its divisors is an integer number (3842496).

Almost surely, 296765942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96765942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122959872).

96765942 is an abundant number, since it is smaller than the sum of its proper divisors (149153802).

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

96765942 is a wasteful number, since it uses less digits than its factorization.

96765942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773.

The product of its digits is 816480, while the sum is 48.

The square root of 96765942 is about 9836.9681304760. The cubic root of 96765942 is about 459.1002292024.

The spelling of 96765942 in words is "ninety-six million, seven hundred sixty-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 1209 1302 2418 2821 5642 5717 8463 11434 16926 17151 34302 40019 74321 80038 120057 148642 177227 222963 240114 354454 445926 520247 531681 1040494 1063362 1240589 1560741 2303951 2481178 3121482 3721767 4607902 6911853 7443534 13823706 16127657 32255314 48382971 96765942