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47572290 = 23251723159
BaseRepresentation
bin1011010101111…
…0010101000010
310022111220220200
42311132111002
544134303130
64415350030
71115233503
oct265362502
9108456820
1047572290
1124942847
1213b22316
139b183ac
146464baa
15429a760
hex2d5e542

47572290 has 144 divisors (see below), whose sum is σ = 137928960. Its totient is φ = 11358720.

The previous prime is 47572289. The next prime is 47572297. The reversal of 47572290 is 9227574.

47572290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47572297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 806281 + ... + 806339.

It is an arithmetic number, because the mean of its divisors is an integer number (957840).

Almost surely, 247572290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47572290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68964480).

47572290 is an abundant number, since it is smaller than the sum of its proper divisors (90356670).

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

47572290 is a wasteful number, since it uses less digits than its factorization.

47572290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 47572290 is about 6897.2668499921. The cubic root of 47572290 is about 362.3414510768.

The spelling of 47572290 in words is "forty-seven million, five hundred seventy-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 59 62 85 90 93 102 118 153 155 170 177 186 255 279 289 295 306 310 354 465 510 527 531 558 578 590 765 867 885 930 1003 1054 1062 1395 1445 1530 1581 1734 1770 1829 2006 2601 2635 2655 2790 2890 3009 3162 3658 4335 4743 5015 5202 5270 5310 5487 6018 7905 8670 8959 9027 9145 9486 10030 10974 13005 15045 15810 16461 17051 17918 18054 18290 23715 26010 26877 27435 30090 31093 32922 34102 44795 45135 47430 51153 53754 54870 62186 80631 82305 85255 89590 90270 93279 102306 134385 153459 155465 161262 164610 170510 186558 255765 268770 279837 306918 310930 403155 466395 511530 528581 559674 767295 806310 932790 1057162 1399185 1534590 1585743 2642905 2798370 3171486 4757229 5285810 7928715 9514458 15857430 23786145 47572290