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94097472 = 2637531321
BaseRepresentation
bin1011001101111…
…01000001000000
320120001122110120
411212331001000
5143042104342
613200500240
72221546440
oct546750100
9216048416
1094097472
114912a907
122761a680
1316657ca1
14c6d6120
1583daaec
hex59bd040

94097472 has 112 divisors (see below), whose sum is σ = 290120832. Its totient is φ = 26357760.

The previous prime is 94097461. The next prime is 94097513. The reversal of 94097472 is 27479049.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 70572 + ... + 71892.

Almost surely, 294097472 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 94097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145060416).

94097472 is an abundant number, since it is smaller than the sum of its proper divisors (196023360).

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

94097472 is a wasteful number, since it uses less digits than its factorization.

94097472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 94097472 is about 9700.3851469929. The cubic root of 94097472 is about 454.8406993759.

The spelling of 94097472 in words is "ninety-four million, ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1321 1344 1484 1696 2226 2544 2642 2968 3392 3963 4452 5088 5284 5936 7926 8904 9247 10176 10568 11872 15852 17808 18494 21136 23744 27741 31704 35616 36988 42272 55482 63408 70013 71232 73976 84544 110964 126816 140026 147952 210039 221928 253632 280052 295904 420078 443856 490091 560104 591808 840156 887712 980182 1120208 1470273 1680312 1775424 1960364 2240416 2940546 3360624 3920728 4480832 5881092 6721248 7841456 11762184 13442496 15682912 23524368 31365824 47048736 94097472