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75048680 = 23571092459
BaseRepresentation
bin1000111100100…
…10011011101000
312020012212102202
410132102123220
5123203024210
611240315332
71600621550
oct436223350
9166185382
1075048680
11393aa203
1221172b48
1312718805
149d78160
1568c69a5
hex47926e8

75048680 has 64 divisors (see below), whose sum is σ = 194832000. Its totient is φ = 25484544.

The previous prime is 75048679. The next prime is 75048703. The reversal of 75048680 is 8684057.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29291 + ... + 31749.

It is an arithmetic number, because the mean of its divisors is an integer number (3044250).

Almost surely, 275048680 is an apocalyptic number.

75048680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75048680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97416000).

75048680 is an abundant number, since it is smaller than the sum of its proper divisors (119783320).

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

75048680 is a wasteful number, since it uses less digits than its factorization.

75048680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 75048680 is about 8663.0641230456. The cubic root of 75048680 is about 421.8075535890.

The spelling of 75048680 in words is "seventy-five million, forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 436 545 763 872 1090 1526 2180 2459 3052 3815 4360 4918 6104 7630 9836 12295 15260 17213 19672 24590 30520 34426 49180 68852 86065 98360 137704 172130 268031 344260 536062 688520 1072124 1340155 1876217 2144248 2680310 3752434 5360620 7504868 9381085 10721240 15009736 18762170 37524340 75048680