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93980208 = 24372312161
BaseRepresentation
bin1011001101000…
…00011000110000
320112211200121110
411212200120300
5143024331313
613154153320
72220550530
oct546403060
9215750543
1093980208
114905a7a3
1227582840
13166167ba
14c6a54c0
1583b5ec3
hex59a0630

93980208 has 80 divisors (see below), whose sum is σ = 289552896. Its totient is φ = 25681920.

The previous prime is 93980207. The next prime is 93980221. The reversal of 93980208 is 80208939.

It is not an unprimeable number, because it can be changed into a prime (93980207) 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, 1648 + ... + 13808.

Almost surely, 293980208 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 93980208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144776448).

93980208 is an abundant number, since it is smaller than the sum of its proper divisors (195572688).

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

93980208 is a wasteful number, since it uses less digits than its factorization.

93980208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12202 (or 12196 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 93980208 is about 9694.3389666341. The cubic root of 93980208 is about 454.6516804437.

The spelling of 93980208 in words is "ninety-three million, nine hundred eighty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 12161 24322 36483 48644 72966 85127 97288 145932 170254 194576 255381 279703 291864 340508 510762 559406 583728 681016 839109 1021524 1118812 1362032 1678218 1957921 2043048 2237624 3356436 3915842 4086096 4475248 5873763 6712872 7831684 11747526 13425744 15663368 23495052 31326736 46990104 93980208