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93896088 = 2331113109251
BaseRepresentation
bin1011001100010…
…11110110011000
320112200102012220
411212023312120
5143014133323
613152304040
72220050346
oct546136630
9215612186
1093896088
1149002580
1227542020
13165b7420
14c682996
15839b0e3
hex598bd98

93896088 has 128 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 25920000.

The previous prime is 93896087. The next prime is 93896111. The reversal of 93896088 is 88069839.

It is a super-3 number, since 3×938960883 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 93896088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93896087) 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, 373963 + ... + 374213.

It is an arithmetic number, because the mean of its divisors is an integer number (2182950).

Almost surely, 293896088 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 93896088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

93896088 is an abundant number, since it is smaller than the sum of its proper divisors (185521512).

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

93896088 is a wasteful number, since it uses less digits than its factorization.

93896088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 93896088 is about 9689.9993808049. Note that the first 3 decimals coincide. The cubic root of 93896088 is about 454.5159897604.

The spelling of 93896088 in words is "ninety-three million, eight hundred ninety-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 109 132 143 156 218 251 264 286 312 327 429 436 502 572 654 753 858 872 1004 1144 1199 1308 1417 1506 1716 2008 2398 2616 2761 2834 3012 3263 3432 3597 4251 4796 5522 5668 6024 6526 7194 8283 8502 9592 9789 11044 11336 13052 14388 15587 16566 17004 19578 22088 26104 27359 28776 31174 33132 34008 35893 39156 46761 54718 62348 66264 71786 78312 82077 93522 107679 109436 124696 143572 164154 187044 215358 218872 287144 300949 328308 355667 374088 430716 601898 656616 711334 861432 902847 1067001 1203796 1422668 1805694 2134002 2407592 2845336 3611388 3912337 4268004 7222776 7824674 8536008 11737011 15649348 23474022 31298696 46948044 93896088