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47053842 = 231119157239
BaseRepresentation
bin1011001101111…
…1110000010010
310021112120201220
42303133300102
544021210332
64400305510
71110644133
oct263376022
9107476656
1047053842
1124619280
1213912296
139996414
14636bc8a
1541e6d2c
hex2cdfc12

47053842 has 64 divisors (see below), whose sum is σ = 109209600. Its totient is φ = 13366080.

The previous prime is 47053813. The next prime is 47053843. The reversal of 47053842 is 24835074.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (47053843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196759 + ... + 196997.

It is an arithmetic number, because the mean of its divisors is an integer number (1706400).

Almost surely, 247053842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47053842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54604800).

47053842 is an abundant number, since it is smaller than the sum of its proper divisors (62155758).

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

47053842 is a wasteful number, since it uses less digits than its factorization.

47053842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 47053842 is about 6859.5803078614. The cubic root of 47053842 is about 361.0203613922.

It can be divided in two parts, 47053 and 842, that added together give a triangular number (47895 = T309).

The spelling of 47053842 in words is "forty-seven million, fifty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 157 209 239 314 418 471 478 627 717 942 1254 1434 1727 2629 2983 3454 4541 5181 5258 5966 7887 8949 9082 10362 13623 15774 17898 27246 32813 37523 49951 65626 75046 98439 99902 112569 149853 196878 225138 299706 412753 712937 825506 1238259 1425874 2138811 2476518 4277622 7842307 15684614 23526921 47053842