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755130464 = 251115114207
BaseRepresentation
bin101101000000100…
…110000001100000
31221121220121020222
4231000212001200
53021303133324
6202533022212
724466334354
oct5500460140
91847817228
10755130464
11358284770
12190a84968
13c05a2a7a
1472409464
154646255e
hex2d026060

755130464 has 48 divisors (see below), whose sum is σ = 1632669696. Its totient is φ = 340944000.

The previous prime is 755130461. The next prime is 755130473. The reversal of 755130464 is 464031557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755130461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46049 + ... + 60255.

It is an arithmetic number, because the mean of its divisors is an integer number (34013952).

Almost surely, 2755130464 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 755130464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816334848).

755130464 is an abundant number, since it is smaller than the sum of its proper divisors (877539232).

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

755130464 is a wasteful number, since it uses less digits than its factorization.

755130464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14379 (or 14371 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 755130464 is about 27479.6372610702. The cubic root of 755130464 is about 910.6272952140.

The spelling of 755130464 in words is "seven hundred fifty-five million, one hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 151 176 302 352 604 1208 1661 2416 3322 4832 6644 13288 14207 26576 28414 53152 56828 113656 156277 227312 312554 454624 625108 1250216 2145257 2500432 4290514 5000864 8581028 17162056 23597827 34324112 47195654 68648224 94391308 188782616 377565232 755130464