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96803766 = 23237191761
BaseRepresentation
bin1011100010100…
…01101110110110
320202011010210200
411301101232312
5144240210031
613334501330
72253550503
oct561215666
9222133720
1096803766
114a709114
1228504846
1317094a47
14cbdc4aa
1587728e6
hex5c51bb6

96803766 has 48 divisors (see below), whose sum is σ = 216822528. Its totient is φ = 31190400.

The previous prime is 96803761. The next prime is 96803807. The reversal of 96803766 is 66730869.

It is a super-2 number, since 2×968037662 = 18741938223565512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96803761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126826 + ... + 127586.

It is an arithmetic number, because the mean of its divisors is an integer number (4517136).

Almost surely, 296803766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96803766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108411264).

96803766 is an abundant number, since it is smaller than the sum of its proper divisors (120018762).

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

96803766 is a wasteful number, since it uses less digits than its factorization.

96803766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 96803766 is about 9838.8904862286. The cubic root of 96803766 is about 459.1600393128.

The spelling of 96803766 in words is "ninety-six million, eight hundred three thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 191 222 333 382 573 666 761 1146 1522 1719 2283 3438 4566 6849 7067 13698 14134 21201 28157 42402 56314 63603 84471 127206 145351 168942 253413 290702 436053 506826 872106 1308159 2616318 5377987 10755974 16133961 32267922 48401883 96803766