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47820256 = 2511731861
BaseRepresentation
bin1011011001101…
…0110111100000
310022222112001121
42312122313200
544220222011
64424542024
71120315441
oct266326740
9108875047
1047820256
1124aa2080
1214021914
139ba4213
1464cb2c8
1542e8e71
hex2d9ade0

47820256 has 48 divisors (see below), whose sum is σ = 104167728. Its totient is φ = 21427200.

The previous prime is 47820251. The next prime is 47820271. The reversal of 47820256 is 65202874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47820251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24766 + ... + 26626.

It is an arithmetic number, because the mean of its divisors is an integer number (2170161).

Almost surely, 247820256 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 47820256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52083864).

47820256 is an abundant number, since it is smaller than the sum of its proper divisors (56347472).

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

47820256 is a wasteful number, since it uses less digits than its factorization.

47820256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 47820256 is about 6915.2191577708. The cubic root of 47820256 is about 362.9699170885.

The spelling of 47820256 in words is "forty-seven million, eight hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 584 803 1168 1606 1861 2336 3212 3722 6424 7444 12848 14888 20471 25696 29776 40942 59552 81884 135853 163768 271706 327536 543412 655072 1086824 1494383 2173648 2988766 4347296 5977532 11955064 23910128 47820256