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93806244 = 223271572371
BaseRepresentation
bin1011001011101…
…01111010100100
320112111211222100
411211311322210
5143003244434
613150332100
72216224410
oct545657244
9215454870
1093806244
1148a51024
12274ba030
131658556c
14c65bd40
15837e699
hex5975ea4

93806244 has 72 divisors (see below), whose sum is σ = 272836928. Its totient is φ = 26619840.

The previous prime is 93806239. The next prime is 93806269. The reversal of 93806244 is 44260839.

It is a happy number.

It is a super-2 number, since 2×938062442 = 17599222826775072, 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 = 93806199 and 93806208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38379 + ... + 40749.

Almost surely, 293806244 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 93806244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136418464).

93806244 is an abundant number, since it is smaller than the sum of its proper divisors (179030684).

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

93806244 is a wasteful number, since it uses less digits than its factorization.

93806244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 93806244 is about 9685.3623577025. The cubic root of 93806244 is about 454.3709763851.

The spelling of 93806244 in words is "ninety-three million, eight hundred six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 157 252 314 471 628 942 1099 1413 1884 2198 2371 2826 3297 4396 4742 5652 6594 7113 9484 9891 13188 14226 16597 19782 21339 28452 33194 39564 42678 49791 66388 85356 99582 149373 199164 298746 372247 597492 744494 1116741 1488988 2233482 2605729 3350223 4466964 5211458 6700446 7817187 10422916 13400892 15634374 23451561 31268748 46903122 93806244