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94084416 = 263418149
BaseRepresentation
bin1011001101110…
…01110101000000
320120000222120000
411212321311000
5143041200131
613200320000
72221463406
oct546716500
9216028500
1094084416
1149121018
1227613000
131665206a
14c6d1476
1583d6ce6
hex59b9d40

94084416 has 70 divisors (see below), whose sum is σ = 278911050. Its totient is φ = 31359744.

The previous prime is 94084399. The next prime is 94084427. The reversal of 94084416 is 61448049.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 21902400 = 8496^2 + 4680^2 .

It is a super-2 number, since 2×940844162 = 17703754668122112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3891 + ... + 14258.

Almost surely, 294084416 is an apocalyptic number.

94084416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

94084416 is an abundant number, since it is smaller than the sum of its proper divisors (184826634).

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

94084416 is a wasteful number, since it uses less digits than its factorization.

94084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18173 (or 18154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 94084416 is about 9699.7121606778. The cubic root of 94084416 is about 454.8196620596.

It can be divided in two parts, 9408 and 4416, that added together give a cube (13824 = 243).

The spelling of 94084416 in words is "ninety-four million, eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 18149 36298 54447 72596 108894 145192 163341 217788 290384 326682 435576 490023 580768 653364 871152 980046 1161536 1306728 1470069 1742304 1960092 2613456 2940138 3484608 3920184 5226912 5880276 7840368 10453824 11760552 15680736 23521104 31361472 47042208 94084416