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94040928 = 25322314197
BaseRepresentation
bin1011001101011…
…11001101100000
320112221202220100
411212233031200
5143033302203
613155342400
72221222542
oct546571540
9215852810
1094040928
11490a1383
12275b1a00
1316638327
14c6bd692
1583c8ea3
hex59af360

94040928 has 72 divisors (see below), whose sum is σ = 279075888. Its totient is φ = 29981952.

The previous prime is 94040917. The next prime is 94040941. The reversal of 94040928 is 82904049.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×940409282 = 17687392278202368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 94040892 and 94040901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475 + ... + 13722.

It is an arithmetic number, because the mean of its divisors is an integer number (3876054).

Almost surely, 294040928 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 94040928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139537944).

94040928 is an abundant number, since it is smaller than the sum of its proper divisors (185034960).

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

94040928 is a wasteful number, since it uses less digits than its factorization.

94040928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14236 (or 14225 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 94040928 is about 9697.4701855690. The cubic root of 94040928 is about 454.7495751931.

The spelling of 94040928 in words is "ninety-four million, forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 14197 28394 42591 56788 85182 113576 127773 170364 227152 255546 326531 340728 454304 511092 653062 681456 979593 1022184 1306124 1362912 1959186 2044368 2612248 2938779 3918372 4088736 5224496 5877558 7836744 10448992 11755116 15673488 23510232 31346976 47020464 94040928