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47028192 = 2531922359
BaseRepresentation
bin1011001101100…
…1011111100000
310021111021112220
42303121133200
544014400232
64355551040
71110506301
oct263313740
9107437486
1047028192
1124600a82
12138bb480
139987843
1463627a8
1541de42c
hex2cd97e0

47028192 has 144 divisors (see below), whose sum is σ = 138257280. Its totient is φ = 13964544.

The previous prime is 47028181. The next prime is 47028203. The reversal of 47028192 is 29182074.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47028181) and next prime (47028203).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 797059 + ... + 797117.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 247028192 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 47028192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

47028192 is an abundant number, since it is smaller than the sum of its proper divisors (91229088).

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

47028192 is a wasteful number, since it uses less digits than its factorization.

47028192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 47028192 is about 6857.7104050842. The cubic root of 47028192 is about 360.9547496376.

The spelling of 47028192 in words is "forty-seven million, twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 59 69 76 92 96 114 118 138 152 177 184 228 236 276 304 354 361 368 437 456 472 552 608 708 722 736 874 912 944 1083 1104 1121 1311 1357 1416 1444 1748 1824 1888 2166 2208 2242 2622 2714 2832 2888 3363 3496 4071 4332 4484 5244 5428 5664 5776 6726 6992 8142 8303 8664 8968 10488 10856 11552 13452 13984 16284 16606 17328 17936 20976 21299 21712 24909 25783 26904 32568 33212 34656 35872 41952 42598 43424 49818 51566 53808 63897 65136 66424 77349 85196 99636 103132 107616 127794 130272 132848 154698 170392 199272 206264 255588 265696 309396 340784 398544 412528 489877 511176 618792 681568 797088 825056 979754 1022352 1237584 1469631 1959508 2044704 2475168 2939262 3919016 5878524 7838032 11757048 15676064 23514096 47028192