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48884256 = 2533291951
BaseRepresentation
bin1011101001111…
…0101000100000
310101222120121000
42322132220200
5100003244011
64503432000
71132336461
oct272365040
9111876530
1048884256
1125659513
1214455600
13a1875c5
1466c6d68
154459356
hex2e9ea20

48884256 has 96 divisors (see below), whose sum is σ = 147571200. Its totient is φ = 15724800.

The previous prime is 48884243. The next prime is 48884257. The reversal of 48884256 is 65248884.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48884257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24081 + ... + 26031.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 248884256 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 48884256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73785600).

48884256 is an abundant number, since it is smaller than the sum of its proper divisors (98686944).

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

48884256 is a wasteful number, since it uses less digits than its factorization.

48884256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1985 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 48884256 is about 6991.7276834842. The cubic root of 48884256 is about 365.6422195703.

The spelling of 48884256 in words is "forty-eight million, eight hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 1951 2088 2784 3132 3902 4176 5853 6264 7804 8352 11706 12528 15608 17559 23412 25056 31216 35118 46824 52677 56579 62432 70236 93648 105354 113158 140472 169737 187296 210708 226316 280944 339474 421416 452632 509211 561888 678948 842832 905264 1018422 1357896 1527633 1685664 1810528 2036844 2715792 3055266 4073688 5431584 6110532 8147376 12221064 16294752 24442128 48884256