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47052630 = 2335229761
BaseRepresentation
bin1011001101111…
…1011101010110
310021112112002000
42303133131112
544021141010
64400300130
71110640452
oct263373526
9107475060
1047052630
1124618379
1213911646
1399959c1
14636b662
1541e67c0
hex2cdf756

47052630 has 64 divisors (see below), whose sum is σ = 126187200. Its totient is φ = 12476160.

The previous prime is 47052613. The next prime is 47052631. The reversal of 47052630 is 3625074.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 47052594 and 47052603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47052631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61450 + ... + 62210.

It is an arithmetic number, because the mean of its divisors is an integer number (1971675).

Almost surely, 247052630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47052630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63093600).

47052630 is an abundant number, since it is smaller than the sum of its proper divisors (79134570).

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

47052630 is a wasteful number, since it uses less digits than its factorization.

47052630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 47052630 is about 6859.4919636953. The cubic root of 47052630 is about 361.0172616777.

The spelling of 47052630 in words is "forty-seven million, fifty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 229 270 458 687 761 1145 1374 1522 2061 2283 2290 3435 3805 4122 4566 6183 6849 6870 7610 10305 11415 12366 13698 20547 20610 22830 30915 34245 41094 61830 68490 102735 174269 205470 348538 522807 871345 1045614 1568421 1742690 2614035 3136842 4705263 5228070 7842105 9410526 15684210 23526315 47052630