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47276112 = 24313239317
BaseRepresentation
bin1011010001011…
…0000001010000
310021221212122010
42310112001100
544100313422
64405142520
71112561142
oct264260120
9107855563
1047276112
1124760274
12139baa40
139a43640
1463c8c92
15423cb0c
hex2d16050

47276112 has 80 divisors (see below), whose sum is σ = 132491520. Its totient is φ = 14439936.

The previous prime is 47276111. The next prime is 47276113. The reversal of 47276112 is 21167274.

It is an interprime number because it is at equal distance from previous prime (47276111) and next prime (47276113).

It is a self number, because there is not a number n which added to its sum of digits gives 47276112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47276111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148978 + ... + 149294.

It is an arithmetic number, because the mean of its divisors is an integer number (1656144).

Almost surely, 247276112 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 47276112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66245760).

47276112 is an abundant number, since it is smaller than the sum of its proper divisors (85215408).

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

47276112 is a wasteful number, since it uses less digits than its factorization.

47276112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 47276112 is about 6875.7626486085. The cubic root of 47276112 is about 361.5879238012.

The spelling of 47276112 in words is "forty-seven million, two hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 239 312 317 478 624 634 717 951 956 1268 1434 1902 1912 2536 2868 3107 3804 3824 4121 5072 5736 6214 7608 8242 9321 11472 12363 12428 15216 16484 18642 24726 24856 32968 37284 49452 49712 65936 74568 75763 98904 149136 151526 197808 227289 303052 454578 606104 909156 984919 1212208 1818312 1969838 2954757 3636624 3939676 5909514 7879352 11819028 15758704 23638056 47276112