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88266640 = 24572112389
BaseRepresentation
bin1010100001011…
…01011110010000
320011002102001211
411100231132100
5140044013030
612431505504
72121153100
oct520553620
9204072054
1088266640
1145908040
1225688294
1315395ca7
14ba19200
157b3812a
hex542d790

88266640 has 240 divisors, whose sum is σ = 274803840. Its totient is φ = 26019840.

The previous prime is 88266631. The next prime is 88266643. The reversal of 88266640 is 4666288.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 88266593 and 88266602.

It is not an unprimeable number, because it can be changed into a prime (88266643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991716 + ... + 991804.

It is an arithmetic number, because the mean of its divisors is an integer number (1145016).

Almost surely, 288266640 is an apocalyptic number.

88266640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137401920).

88266640 is an abundant number, since it is smaller than the sum of its proper divisors (186537200).

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

88266640 is a wasteful number, since it uses less digits than its factorization.

88266640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 88266640 is about 9395.0327301186. The cubic root of 88266640 is about 445.2448091180.

The spelling of 88266640 in words is "eighty-eight million, two hundred sixty-six thousand, six hundred forty".