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48060432 = 2433723691
BaseRepresentation
bin1011011101010…
…1100000010000
310100102201112000
42313111200100
544300413212
64434034000
71122335610
oct267254020
9110381460
1048060432
1125146572
1214118900
139c59634
146550a40
1543451dc
hex2dd5810

48060432 has 160 divisors (see below), whose sum is σ = 164751360. Its totient is φ = 13115520.

The previous prime is 48060427. The next prime is 48060433. The reversal of 48060432 is 23406084.

It is a super-3 number, since 3×480604323 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48060396 and 48060405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48060433) 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 31 ways as a sum of consecutive naturals, for example, 69207 + ... + 69897.

It is an arithmetic number, because the mean of its divisors is an integer number (1029696).

Almost surely, 248060432 is an apocalyptic number.

48060432 is a gapful number since it is divisible by the number (42) 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 48060432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82375680).

48060432 is an abundant number, since it is smaller than the sum of its proper divisors (116690928).

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

48060432 is a wasteful number, since it uses less digits than its factorization.

48060432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 48060432 is about 6932.5631623520. The cubic root of 48060432 is about 363.5765715933.

The spelling of 48060432 in words is "forty-eight million, sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 691 756 828 966 1008 1104 1242 1288 1382 1449 1512 1656 1932 2073 2484 2576 2764 2898 3024 3312 3864 4146 4347 4837 4968 5528 5796 6219 7728 8292 8694 9674 9936 11056 11592 12438 14511 15893 16584 17388 18657 19348 23184 24876 29022 31786 33168 34776 37314 38696 43533 47679 49752 58044 63572 69552 74628 77392 87066 95358 99504 111251 116088 127144 130599 143037 149256 174132 190716 222502 232176 254288 261198 286074 298512 333753 348264 381432 429111 445004 522396 572148 667506 696528 762864 858222 890008 1001259 1044792 1144296 1335012 1716444 1780016 2002518 2089584 2288592 2670024 3003777 3432888 4005036 5340048 6007554 6865776 8010072 12015108 16020144 24030216 48060432