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47315008 = 2613293753
BaseRepresentation
bin1011010001111…
…1100001000000
310022000211222201
42310133201000
544103040013
64410042544
71113112426
oct264374100
9108024881
1047315008
1124787514
1213a19454
139a58260
1463d9116
1542493dd
hex2d1f840

47315008 has 112 divisors (see below), whose sum is σ = 109453680. Its totient is φ = 20127744.

The previous prime is 47314999. The next prime is 47315011. The reversal of 47315008 is 80051374.

It can be written as a sum of positive squares in 8 ways, for example, as 1183744 + 46131264 = 1088^2 + 6792^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892710 + ... + 892762.

It is an arithmetic number, because the mean of its divisors is an integer number (977265).

Almost surely, 247315008 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 47315008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54726840).

47315008 is an abundant number, since it is smaller than the sum of its proper divisors (62138672).

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

47315008 is a wasteful number, since it uses less digits than its factorization.

47315008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 47315008 is about 6878.5905533038. The cubic root of 47315008 is about 361.6870610324.

The spelling of 47315008 in words is "forty-seven million, three hundred fifteen thousand, eight".

Divisors: 1 2 4 8 13 16 26 29 32 37 52 53 58 64 74 104 106 116 148 208 212 232 296 377 416 424 464 481 592 689 754 832 848 928 962 1073 1184 1378 1508 1537 1696 1856 1924 1961 2146 2368 2756 3016 3074 3392 3848 3922 4292 5512 6032 6148 7696 7844 8584 11024 12064 12296 13949 15392 15688 17168 19981 22048 24128 24592 25493 27898 30784 31376 34336 39962 44096 49184 50986 55796 56869 62752 68672 79924 98368 101972 111592 113738 125504 159848 203944 223184 227476 319696 407888 446368 454952 639392 739297 815776 892736 909904 1278784 1478594 1631552 1819808 2957188 3639616 5914376 11828752 23657504 47315008