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755116032 = 21131111173
BaseRepresentation
bin101101000000100…
…010100000000000
31221121212212110110
4231000202200000
53021302203112
6202532431320
724466244316
oct5500424000
91847785413
10755116032
11358274940
12190a78540
13c0599328
14724040b6
154645d13c
hex2d022800

755116032 has 96 divisors (see below), whose sum is σ = 2196361440. Its totient is φ = 228802560.

The previous prime is 755116003. The next prime is 755116099. The reversal of 755116032 is 230611557.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61998 + ... + 73170.

It is an arithmetic number, because the mean of its divisors is an integer number (22878765).

Almost surely, 2755116032 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 755116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098180720).

755116032 is an abundant number, since it is smaller than the sum of its proper divisors (1441245408).

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

755116032 is a wasteful number, since it uses less digits than its factorization.

755116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209 (or 11189 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 755116032 is about 27479.3746653740. The cubic root of 755116032 is about 910.6214938956.

Adding to 755116032 its reverse (230611557), we get a palindrome (985727589).

The spelling of 755116032 in words is "seven hundred fifty-five million, one hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 11173 11264 16896 22346 22528 33519 33792 44692 67038 67584 89384 122903 134076 178768 245806 268152 357536 368709 491612 536304 715072 737418 983224 1072608 1430144 1474836 1966448 2145216 2860288 2949672 3932896 4290432 5720576 5899344 7865792 8580864 11441152 11798688 15731584 17161728 22882304 23597376 31463168 34323456 47194752 62926336 68646912 94389504 125852672 188779008 251705344 377558016 755116032