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47799040 = 285107349
BaseRepresentation
bin1011011001010…
…1101100000000
310022221102221211
42312111230000
544214032130
64424255504
71120166542
oct266255400
9108842854
1047799040
1124a88143
1214011594
139b97673
1464c3692
1542e2a2a
hex2d95b00

47799040 has 72 divisors (see below), whose sum is σ = 115894800. Its totient is φ = 18886656.

The previous prime is 47798999. The next prime is 47799067. The reversal of 47799040 is 4099774.

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 = 47798984 and 47799002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136786 + ... + 137134.

It is an arithmetic number, because the mean of its divisors is an integer number (1609650).

Almost surely, 247799040 is an apocalyptic number.

47799040 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 47799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57947400).

47799040 is an abundant number, since it is smaller than the sum of its proper divisors (68095760).

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

47799040 is a wasteful number, since it uses less digits than its factorization.

47799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 47799040 is about 6913.6849798064. The cubic root of 47799040 is about 362.9162305720.

The spelling of 47799040 in words is "forty-seven million, seven hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 256 320 349 428 535 640 698 856 1070 1280 1396 1712 1745 2140 2792 3424 3490 4280 5584 6848 6980 8560 11168 13696 13960 17120 22336 27392 27920 34240 37343 44672 55840 68480 74686 89344 111680 136960 149372 186715 223360 298744 373430 446720 597488 746860 1194976 1493720 2389952 2987440 4779904 5974880 9559808 11949760 23899520 47799040