Search a number
-
+
47744064 = 263282889
BaseRepresentation
bin1011011000100…
…0010001000000
310022211122112200
42312020101000
544210302224
64423153200
71116550344
oct266102100
9108748480
1047744064
1124a4a905
1213ba5800
139b78634
1464ab624
1542d15c9
hex2d88440

47744064 has 42 divisors (see below), whose sum is σ = 136851390. Its totient is φ = 15914496.

The previous prime is 47744051. The next prime is 47744083. The reversal of 47744064 is 46044774.

It can be written as a sum of positive squares in only one way, i.e., 45158400 + 2585664 = 6720^2 + 1608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40869 + ... + 42020.

Almost surely, 247744064 is an apocalyptic number.

It is an amenable number.

47744064 is an abundant number, since it is smaller than the sum of its proper divisors (89107326).

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

47744064 is a wasteful number, since it uses less digits than its factorization.

47744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82907 (or 82894 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 47744064 is about 6909.7079533074. The cubic root of 47744064 is about 362.7770413281. Note that the first 3 decimals are identical.

The spelling of 47744064 in words is "forty-seven million, seven hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 82889 165778 248667 331556 497334 663112 746001 994668 1326224 1492002 1989336 2652448 2984004 3978672 5304896 5968008 7957344 11936016 15914688 23872032 47744064