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47496640 = 265178731
BaseRepresentation
bin1011010100101…
…1110111000000
310022101002010211
42311023313000
544124343030
64414003504
71114500112
oct265136700
9108332124
1047496640
11248a0a24
1213aa6594
139abcb29
1464453b2
15428312a
hex2d4bdc0

47496640 has 56 divisors (see below), whose sum is σ = 119768112. Its totient is φ = 17879040.

The previous prime is 47496607. The next prime is 47496643. The reversal of 47496640 is 4669474.

47496640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×474966402 = 4511861622579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 47496593 and 47496602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47496643) 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 7 ways as a sum of consecutive naturals, for example, 1075 + ... + 9805.

Almost surely, 247496640 is an apocalyptic number.

47496640 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 47496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59884056).

47496640 is an abundant number, since it is smaller than the sum of its proper divisors (72271472).

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

47496640 is a wasteful number, since it uses less digits than its factorization.

47496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 47496640 is about 6891.7806117142. The cubic root of 47496640 is about 362.1492826705.

It can be divided in two parts, 4 and 7496640, that added together give a square (7496644 = 27382).

The spelling of 47496640 in words is "forty-seven million, four hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 8731 17462 34924 43655 69848 87310 139696 148427 174620 279392 296854 349240 558784 593708 698480 742135 1187416 1396960 1484270 2374832 2793920 2968540 4749664 5937080 9499328 11874160 23748320 47496640