Search a number
-
+
93601312 = 257417863
BaseRepresentation
bin1011001010000…
…11111000100000
320112010102212021
411211003320200
5142430220222
613142111224
72214412060
oct545037040
9215112767
1093601312
1148921062
122741b514
13165131bc
14c6073a0
15833dac7
hex5943e20

93601312 has 24 divisors (see below), whose sum is σ = 210603456. Its totient is φ = 40114752.

The previous prime is 93601301. The next prime is 93601327. The reversal of 93601312 is 21310639.

It is a super-2 number, since 2×936013122 = 17522411216242688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208708 + ... + 209155.

It is an arithmetic number, because the mean of its divisors is an integer number (8775144).

Almost surely, 293601312 is an apocalyptic number.

It is an amenable number.

93601312 is an abundant number, since it is smaller than the sum of its proper divisors (117002144).

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

93601312 is a wasteful number, since it uses less digits than its factorization.

93601312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417880 (or 417872 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 93601312 is about 9674.7771033756. Note that the first 3 decimals coincide. The cubic root of 93601312 is about 454.0398575498.

The spelling of 93601312 in words is "ninety-three million, six hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 417863 835726 1671452 2925041 3342904 5850082 6685808 11700164 13371616 23400328 46800656 93601312