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47940336 = 243471521
BaseRepresentation
bin1011011011100…
…0001011110000
310100012121210000
42312320023300
544233042321
64431310000
71121325513
oct266701360
9110177700
1047940336
1125074314
121407b300
139c16a82
14651cd7a
15431e826
hex2db82f0

47940336 has 100 divisors (see below), whose sum is σ = 140977584. Its totient is φ = 15724800.

The previous prime is 47940331. The next prime is 47940337. The reversal of 47940336 is 63304974.

47940336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 47940336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47940331) 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 19 ways as a sum of consecutive naturals, for example, 91756 + ... + 92276.

Almost surely, 247940336 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 47940336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70488792).

47940336 is an abundant number, since it is smaller than the sum of its proper divisors (93037248).

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

47940336 is a wasteful number, since it uses less digits than its factorization.

47940336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 47940336 is about 6923.8960130840. The cubic root of 47940336 is about 363.2734774071.

The spelling of 47940336 in words is "forty-seven million, nine hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 521 568 639 648 852 1042 1136 1278 1296 1563 1704 1917 2084 2556 3126 3408 3834 4168 4689 5112 5751 6252 7668 8336 9378 10224 11502 12504 14067 15336 18756 23004 25008 28134 30672 36991 37512 42201 46008 56268 73982 75024 84402 92016 110973 112536 147964 168804 221946 225072 295928 332919 337608 443892 591856 665838 675216 887784 998757 1331676 1775568 1997514 2663352 2996271 3995028 5326704 5992542 7990056 11985084 15980112 23970168 47940336