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48886464 = 2631179293
BaseRepresentation
bin1011101001111…
…1001011000000
310101222200121210
42322133023000
5100003331324
64503450120
71132346064
oct272371300
9111880553
1048886464
1125660140
1214456940
13a188603
1466c7aa4
154459d29
hex2e9f2c0

48886464 has 112 divisors (see below), whose sum is σ = 143377920. Its totient is φ = 14576640.

The previous prime is 48886459. The next prime is 48886507. The reversal of 48886464 is 46468884.

48886464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 166702 + ... + 166994.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 248886464 is an apocalyptic number.

48886464 is a gapful number since it is divisible by the number (44) 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 48886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

48886464 is an abundant number, since it is smaller than the sum of its proper divisors (94491456).

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

48886464 is a wasteful number, since it uses less digits than its factorization.

48886464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 48886464 is about 6991.8855825879. The cubic root of 48886464 is about 365.6477245866.

The spelling of 48886464 in words is "forty-eight million, eight hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 132 158 176 192 237 264 293 316 352 474 528 586 632 704 869 879 948 1056 1172 1264 1738 1758 1896 2112 2344 2528 2607 3223 3476 3516 3792 4688 5056 5214 6446 6952 7032 7584 9376 9669 10428 12892 13904 14064 15168 18752 19338 20856 23147 25784 27808 28128 38676 41712 46294 51568 55616 56256 69441 77352 83424 92588 103136 138882 154704 166848 185176 206272 254617 277764 309408 370352 509234 555528 618816 740704 763851 1018468 1111056 1481408 1527702 2036936 2222112 3055404 4073872 4444224 6110808 8147744 12221616 16295488 24443232 48886464