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93880248 = 233711371373
BaseRepresentation
bin1011001100001…
…11111110111000
320112122121111020
411212013332320
5143013131443
613152102440
72216653230
oct546077670
9215577436
1093880248
1148aa1690
1227534a20
13165b0157
14c67acc0
158396583
hex5987fb8

93880248 has 128 divisors (see below), whose sum is σ = 300741120. Its totient is φ = 23708160.

The previous prime is 93880231. The next prime is 93880249. The reversal of 93880248 is 84208839.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93880249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67690 + ... + 69062.

It is an arithmetic number, because the mean of its divisors is an integer number (2349540).

Almost surely, 293880248 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 93880248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150370560).

93880248 is an abundant number, since it is smaller than the sum of its proper divisors (206860872).

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

93880248 is a wasteful number, since it uses less digits than its factorization.

93880248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 93880248 is about 9689.1820088179. The cubic root of 93880248 is about 454.4904298096.

The spelling of 93880248 in words is "ninety-three million, eight hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 37 42 44 56 66 74 77 84 88 111 132 148 154 168 222 231 259 264 296 308 407 444 462 518 616 777 814 888 924 1036 1221 1373 1554 1628 1848 2072 2442 2746 2849 3108 3256 4119 4884 5492 5698 6216 8238 8547 9611 9768 10984 11396 15103 16476 17094 19222 22792 28833 30206 32952 34188 38444 45309 50801 57666 60412 68376 76888 90618 101602 105721 115332 120824 152403 181236 203204 211442 230664 304806 317163 355607 362472 406408 422884 558811 609612 634326 711214 845768 1066821 1117622 1219224 1268652 1422428 1676433 2133642 2235244 2537304 2844856 3352866 3911677 4267284 4470488 6705732 7823354 8534568 11735031 13411464 15646708 23470062 31293416 46940124 93880248