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94072992 = 25313431753
BaseRepresentation
bin1011001101101…
…11000010100000
320120000101212220
411212313002200
5143040313432
613200151040
72221415166
oct546670240
9216011786
1094072992
1149113482
1227608480
1316649ac0
14c6cb236
1583d372c
hex59b70a0

94072992 has 96 divisors (see below), whose sum is σ = 272276928. Its totient is φ = 28256256.

The previous prime is 94072973. The next prime is 94072997. The reversal of 94072992 is 29927049.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (94072997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52788 + ... + 54540.

It is an arithmetic number, because the mean of its divisors is an integer number (2836218).

Almost surely, 294072992 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 94072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136138464).

94072992 is an abundant number, since it is smaller than the sum of its proper divisors (178203936).

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

94072992 is a wasteful number, since it uses less digits than its factorization.

94072992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 94072992 is about 9699.1232593467. The cubic root of 94072992 is about 454.8012528112.

The spelling of 94072992 in words is "ninety-four million, seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 1753 2064 2236 3354 3506 4128 4472 5259 6708 7012 8944 10518 13416 14024 17888 21036 22789 26832 28048 42072 45578 53664 56096 68367 75379 84144 91156 136734 150758 168288 182312 226137 273468 301516 364624 452274 546936 603032 729248 904548 979927 1093872 1206064 1809096 1959854 2187744 2412128 2939781 3618192 3919708 5879562 7236384 7839416 11759124 15678832 23518248 31357664 47036496 94072992