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48212736 = 2831113439
BaseRepresentation
bin1011011111101…
…0101100000000
310100201110102220
42313322230000
544320301421
64441211040
71123541625
oct267725400
9110643386
1048212736
112523aa40
1214190a80
139cb0a60
14659034c
1543753c6
hex2dfab00

48212736 has 144 divisors (see below), whose sum is σ = 151092480. Its totient is φ = 13455360.

The previous prime is 48212711. The next prime is 48212743. The reversal of 48212736 is 63721284.

48212736 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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 48212697 and 48212706.

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, 109605 + ... + 110043.

Almost surely, 248212736 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 48212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75546240).

48212736 is an abundant number, since it is smaller than the sum of its proper divisors (102879744).

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

48212736 is a wasteful number, since it uses less digits than its factorization.

48212736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 48212736 is about 6943.5391552147. The cubic root of 48212736 is about 363.9602259000.

It can be divided in two parts, 4821 and 2736, that added together give a palindrome (7557).

The spelling of 48212736 in words is "forty-eight million, two hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 439 528 572 624 704 768 832 858 878 1056 1144 1248 1317 1408 1664 1716 1756 2112 2288 2496 2634 2816 3328 3432 3512 4224 4576 4829 4992 5268 5707 6864 7024 8448 9152 9658 9984 10536 11414 13728 14048 14487 17121 18304 19316 21072 22828 27456 28096 28974 34242 36608 38632 42144 45656 54912 56192 57948 62777 68484 77264 84288 91312 109824 112384 115896 125554 136968 154528 168576 182624 188331 231792 251108 273936 309056 337152 365248 376662 463584 502216 547872 618112 730496 753324 927168 1004432 1095744 1236224 1460992 1506648 1854336 2008864 2191488 3013296 3708672 4017728 4382976 6026592 8035456 12053184 16070912 24106368 48212736