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88829552 = 2472293907
BaseRepresentation
bin1010100101101…
…10111001110000
320012011000020102
411102312321300
5140220021202
612451531532
72126016200
oct522667160
9205130212
1088829552
1146161a59
12258b9ba8
1315532286
14bb24400
157be9d02
hex54b6e70

88829552 has 60 divisors (see below), whose sum is σ = 207163080. Its totient is φ = 36747648.

The previous prime is 88829527. The next prime is 88829557. The reversal of 88829552 is 25592888.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 88829497 and 88829506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88829557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20783 + ... + 24689.

It is an arithmetic number, because the mean of its divisors is an integer number (3452718).

Almost surely, 288829552 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 88829552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103581540).

88829552 is an abundant number, since it is smaller than the sum of its proper divisors (118333528).

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

88829552 is a wasteful number, since it uses less digits than its factorization.

88829552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3945 counting only the distinct ones).

The product of its digits is 460800, while the sum is 47.

The square root of 88829552 is about 9424.9430767512. The cubic root of 88829552 is about 446.1893061117.

The spelling of 88829552 in words is "eighty-eight million, eight hundred twenty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1421 1624 2842 3248 3907 5684 7814 11368 15628 22736 27349 31256 54698 62512 109396 113303 191443 218792 226606 382886 437584 453212 765772 793121 906424 1531544 1586242 1812848 3063088 3172484 5551847 6344968 11103694 12689936 22207388 44414776 88829552