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47043072 = 29334183
BaseRepresentation
bin1011001101110…
…1001000000000
310021112000222000
42303131020000
544020334242
64400144000
71110600546
oct263351000
9107460860
1047043072
112461117a
1213908000
13999154b
146367d96
1541e3a4c
hex2cdd200

47043072 has 160 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 15114240.

The previous prime is 47043071. The next prime is 47043103. The reversal of 47043072 is 27034074.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (47043071) 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, 566743 + ... + 566825.

It is an arithmetic number, because the mean of its divisors is an integer number (902286).

Almost surely, 247043072 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 47043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

47043072 is an abundant number, since it is smaller than the sum of its proper divisors (97322688).

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

47043072 is an equidigital number, since it uses as much as digits as its factorization.

47043072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 47043072 is about 6858.7952294845. The cubic root of 47043072 is about 360.9928150339.

It can be divided in two parts, 4704 and 3072, that added together give a 5-th power (7776 = 65).

The spelling of 47043072 in words is "forty-seven million, forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 83 96 108 123 128 144 164 166 192 216 246 249 256 288 328 332 369 384 432 492 498 512 576 656 664 738 747 768 864 984 996 1107 1152 1312 1328 1476 1494 1536 1728 1968 1992 2214 2241 2304 2624 2656 2952 2988 3403 3456 3936 3984 4428 4482 4608 5248 5312 5904 5976 6806 6912 7872 7968 8856 8964 10209 10496 10624 11808 11952 13612 13824 15744 15936 17712 17928 20418 20992 21248 23616 23904 27224 30627 31488 31872 35424 35856 40836 42496 47232 47808 54448 61254 62976 63744 70848 71712 81672 91881 94464 95616 108896 122508 127488 141696 143424 163344 183762 188928 191232 217792 245016 283392 286848 326688 367524 382464 435584 490032 566784 573696 653376 735048 871168 980064 1147392 1306752 1470096 1742336 1960128 2613504 2940192 3920256 5227008 5880384 7840512 11760768 15681024 23521536 47043072