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94874112 = 29336863
BaseRepresentation
bin1011010011110…
…10101000000000
320121112002211000
411221322220000
5143241432422
613225252000
72231262624
oct551725000
9217462730
1094874112
1149610363
1227934000
131686a638
14c859184
1584e0cac
hex5a7aa00

94874112 has 80 divisors (see below), whose sum is σ = 280874880. Its totient is φ = 31620096.

The previous prime is 94874107. The next prime is 94874137. The reversal of 94874112 is 21147849.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 7 ways as a sum of consecutive naturals, for example, 10393 + ... + 17255.

It is an arithmetic number, because the mean of its divisors is an integer number (3510936).

Almost surely, 294874112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94874112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140437440).

94874112 is an abundant number, since it is smaller than the sum of its proper divisors (186000768).

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

94874112 is an equidigital number, since it uses as much as digits as its factorization.

94874112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6868 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 94874112 is about 9740.3342858446. The cubic root of 94874112 is about 456.0886254335.

It can be divided in two parts, 948741 and 12, that added together give a triangular number (948753 = T1377).

The spelling of 94874112 in words is "ninety-four million, eight hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6863 6912 13726 13824 20589 27452 41178 54904 61767 82356 109808 123534 164712 185301 219616 247068 329424 370602 439232 494136 658848 741204 878464 988272 1317696 1482408 1756928 1976544 2635392 2964816 3513856 3953088 5270784 5929632 7906176 10541568 11859264 15812352 23718528 31624704 47437056 94874112