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88266248 = 2373191693
BaseRepresentation
bin1010100001011…
…01011000001000
320011002101112022
411100231120020
5140044004443
612431504012
72121152000
oct520553010
9204071468
1088266248
1145907814
1225688008
1315395a65
14ba19000
157b37e68
hex542d608

88266248 has 64 divisors (see below), whose sum is σ = 203280000. Its totient is φ = 35816256.

The previous prime is 88266239. The next prime is 88266263. The reversal of 88266248 is 84266288.

It is a junction number, because it is equal to n+sod(n) for n = 88266199 and 88266208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51290 + ... + 52982.

It is an arithmetic number, because the mean of its divisors is an integer number (3176250).

Almost surely, 288266248 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 88266248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101640000).

88266248 is an abundant number, since it is smaller than the sum of its proper divisors (115013752).

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

88266248 is a wasteful number, since it uses less digits than its factorization.

88266248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1721 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The square root of 88266248 is about 9395.0118680074. The cubic root of 88266248 is about 445.2441499931.

It can be divided in two parts, 882 and 66248, that multiplied together give a square (58430736 = 76442).

The spelling of 88266248 in words is "eighty-eight million, two hundred sixty-six thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 343 392 532 686 931 1064 1372 1693 1862 2744 3386 3724 6517 6772 7448 11851 13034 13544 23702 26068 32167 47404 52136 64334 82957 94808 128668 165914 225169 257336 331828 450338 580699 663656 900676 1161398 1576183 1801352 2322796 3152366 4645592 6304732 11033281 12609464 22066562 44133124 88266248