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88212352 = 275313003
BaseRepresentation
bin1010100001000…
…00001110000000
320010222122121011
411100200032000
5140040243402
612430410304
72120535604
oct520401600
9203878534
1088212352
1145880278
1225660994
1315377377
14ba03504
157b26ed7
hex5420380

88212352 has 32 divisors (see below), whose sum is σ = 179065080. Its totient is φ = 43270656.

The previous prime is 88212349. The next prime is 88212359. The reversal of 88212352 is 25321288.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88212359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283 + ... + 13285.

Almost surely, 288212352 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 88212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89532540).

88212352 is an abundant number, since it is smaller than the sum of its proper divisors (90852728).

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

88212352 is a wasteful number, since it uses less digits than its factorization.

88212352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13070 (or 13058 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 88212352 is about 9392.1430994209. The cubic root of 88212352 is about 445.1535084582.

The spelling of 88212352 in words is "eighty-eight million, two hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 13003 26006 52012 104024 208048 416096 689159 832192 1378318 1664384 2756636 5513272 11026544 22053088 44106176 88212352