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88926048 = 25321741443
BaseRepresentation
bin1010100110011…
…10011101100000
320012022220121100
411103032131200
5140231113143
612453554400
72126600421
oct523163540
9205286540
1088926048
1146218502
1225945a00
1315567183
14bb4b648
157c186d3
hex54ce760

88926048 has 144 divisors (see below), whose sum is σ = 274908816. Its totient is φ = 27156480.

The previous prime is 88926043. The next prime is 88926049. The reversal of 88926048 is 84062988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 88925994 and 88926012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88926043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200515 + ... + 200957.

It is an arithmetic number, because the mean of its divisors is an integer number (1909089).

Almost surely, 288926048 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 88926048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137454408).

88926048 is an abundant number, since it is smaller than the sum of its proper divisors (185982768).

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

88926048 is a wasteful number, since it uses less digits than its factorization.

88926048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 88926048 is about 9430.0608693688. The cubic root of 88926048 is about 446.3508135578.

The spelling of 88926048 in words is "eighty-eight million, nine hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 41 48 51 68 72 82 96 102 123 136 144 153 164 204 246 272 288 306 328 369 408 443 492 544 612 656 697 738 816 886 984 1224 1312 1329 1394 1476 1632 1772 1968 2091 2448 2658 2788 2952 3544 3936 3987 4182 4896 5316 5576 5904 6273 7088 7531 7974 8364 10632 11152 11808 12546 14176 15062 15948 16728 18163 21264 22304 22593 25092 30124 31896 33456 36326 42528 45186 50184 54489 60248 63792 66912 67779 72652 90372 100368 108978 120496 127584 135558 145304 163467 180744 200736 217956 240992 271116 290608 308771 326934 361488 435912 542232 581216 617542 653868 722976 871824 926313 1084464 1235084 1307736 1743648 1852626 2168928 2470168 2615472 2778939 3705252 4940336 5230944 5557878 7410504 9880672 11115756 14821008 22231512 29642016 44463024 88926048