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47086640 = 2451314493
BaseRepresentation
bin1011001110011…
…1110000110000
310021121020201122
42303213300300
544023233030
64401121412
71111141556
oct263476060
9107536648
1047086640
1124640987
1213929268
1399a8323
146379bd6
1542018e5
hex2ce7c30

47086640 has 40 divisors (see below), whose sum is σ = 110336688. Its totient is φ = 18686720.

The previous prime is 47086619. The next prime is 47086709. The reversal of 47086640 is 4668074.

47086640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 47086640.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8234 + ... + 12726.

Almost surely, 247086640 is an apocalyptic number.

47086640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55168344).

47086640 is an abundant number, since it is smaller than the sum of its proper divisors (63250048).

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

47086640 is a wasteful number, since it uses less digits than its factorization.

47086640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 47086640 is about 6861.9705624551. The cubic root of 47086640 is about 361.1042227395.

It can be divided in two parts, 470 and 86640, that multiplied together give a triangular number (40720800 = T9024).

The spelling of 47086640 in words is "forty-seven million, eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 4493 5240 8986 10480 17972 22465 35944 44930 71888 89860 179720 359440 588583 1177166 2354332 2942915 4708664 5885830 9417328 11771660 23543320 47086640