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88239648 = 2537196911
BaseRepresentation
bin1010100001001…
…10111000100000
320011001001001010
411100212320200
5140042132043
612431140520
72121011310
oct520467040
9204031033
1088239648
1145899832
1225674740
1315386913
14ba0d440
157b30133
hex5426e20

88239648 has 96 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 23880960.

The previous prime is 88239643. The next prime is 88239653. The reversal of 88239648 is 84693288.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88239643) and next prime (88239653).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 88239597 and 88239606.

It is not an unprimeable number, because it can be changed into a prime (88239643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9313 + ... + 16223.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 288239648 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 88239648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

88239648 is an abundant number, since it is smaller than the sum of its proper divisors (190452192).

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

88239648 is a wasteful number, since it uses less digits than its factorization.

88239648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950 (or 6942 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 88239648 is about 9393.5961165041. The cubic root of 88239648 is about 445.1994191000.

The spelling of 88239648 in words is "eighty-eight million, two hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 6911 12768 13822 20733 27644 41466 48377 55288 82932 96754 110576 131309 145131 165864 193508 221152 262618 290262 331728 387016 393927 525236 580524 663456 774032 787854 919163 1050472 1161048 1548064 1575708 1838326 2100944 2322096 2757489 3151416 3676652 4201888 4644192 5514978 6302832 7353304 11029956 12605664 14706608 22059912 29413216 44119824 88239648