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48057856 = 297112353
BaseRepresentation
bin1011011101010…
…0111000000000
310100102120222121
42313110320000
544300322411
64434014024
71122325240
oct267247000
9110376877
1048057856
1125144640
1214117314
139c58402
14654db20
154344571
hex2dd4e00

48057856 has 160 divisors (see below), whose sum is σ = 127277568. Its totient is φ = 17571840.

The previous prime is 48057851. The next prime is 48057869. The reversal of 48057856 is 65875084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48057851) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 906726 + ... + 906778.

Almost surely, 248057856 is an apocalyptic number.

48057856 is a gapful number since it is divisible by the number (46) 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 48057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63638784).

48057856 is an abundant number, since it is smaller than the sum of its proper divisors (79219712).

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

48057856 is a wasteful number, since it uses less digits than its factorization.

48057856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 48057856 is about 6932.3773699936. The cubic root of 48057856 is about 363.5700756746.

The spelling of 48057856 in words is "forty-eight million, fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 53 56 64 77 88 92 106 112 128 154 161 176 184 212 224 253 256 308 322 352 368 371 424 448 506 512 583 616 644 704 736 742 848 896 1012 1166 1219 1232 1288 1408 1472 1484 1696 1771 1792 2024 2332 2438 2464 2576 2816 2944 2968 3392 3542 3584 4048 4081 4664 4876 4928 5152 5632 5888 5936 6784 7084 8096 8162 8533 9328 9752 9856 10304 11776 11872 13409 13568 14168 16192 16324 17066 18656 19504 19712 20608 23744 26818 27136 28336 32384 32648 34132 37312 39008 39424 41216 47488 53636 56672 64768 65296 68264 74624 78016 82432 93863 94976 107272 113344 129536 130592 136528 149248 156032 187726 189952 214544 226688 261184 273056 298496 312064 375452 429088 453376 522368 546112 624128 750904 858176 906752 1044736 1092224 1501808 1716352 2089472 2184448 3003616 3432704 4368896 6007232 6865408 12014464 24028928 48057856