Search a number
-
+
93806304 = 253977149
BaseRepresentation
bin1011001011101…
…01111011100000
320112111212001120
411211311323200
5143003300204
613150332240
72216224524
oct545657340
9215455046
1093806304
1148a51079
12274ba080
13165855b7
14c65bd84
15837e6d9
hex5975ee0

93806304 has 24 divisors (see below), whose sum is σ = 246241800. Its totient is φ = 31268736.

The previous prime is 93806291. The next prime is 93806311. The reversal of 93806304 is 40360839.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 488479 + ... + 488670.

It is an arithmetic number, because the mean of its divisors is an integer number (10260075).

Almost surely, 293806304 is an apocalyptic number.

It is an amenable number.

93806304 is an abundant number, since it is smaller than the sum of its proper divisors (152435496).

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

93806304 is a wasteful number, since it uses less digits than its factorization.

93806304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977162 (or 977154 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 93806304 is about 9685.3654551597. The cubic root of 93806304 is about 454.3710732594.

The spelling of 93806304 in words is "ninety-three million, eight hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 977149 1954298 2931447 3908596 5862894 7817192 11725788 15634384 23451576 31268768 46903152 93806304