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88648040 = 23513227751
BaseRepresentation
bin1010100100010…
…10100101101000
320011210210020202
411102022211220
5140143214130
612444011332
72124332045
oct522124550
9204723222
1088648040
1146048648
1225830b48
131549a780
14bab81cc
157bb1145
hex548a968

88648040 has 64 divisors (see below), whose sum is σ = 216034560. Its totient is φ = 32544000.

The previous prime is 88647991. The next prime is 88648057. The reversal of 88648040 is 4084688.

It is a junction number, because it is equal to n+sod(n) for n = 88647985 and 88648003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117665 + ... + 118415.

It is an arithmetic number, because the mean of its divisors is an integer number (3375540).

Almost surely, 288648040 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 88648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108017280).

88648040 is an abundant number, since it is smaller than the sum of its proper divisors (127386520).

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

88648040 is a wasteful number, since it uses less digits than its factorization.

88648040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 88648040 is about 9415.3088106551. The cubic root of 88648040 is about 445.8851883280.

The spelling of 88648040 in words is "eighty-eight million, six hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 227 260 454 520 751 908 1135 1502 1816 2270 2951 3004 3755 4540 5902 6008 7510 9080 9763 11804 14755 15020 19526 23608 29510 30040 39052 48815 59020 78104 97630 118040 170477 195260 340954 390520 681908 852385 1363816 1704770 2216201 3409540 4432402 6819080 8864804 11081005 17729608 22162010 44324020 88648040