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48091344 = 2437323127
BaseRepresentation
bin1011011101110…
…1000011010000
310100111021220220
42313131003100
544302410334
64434433040
71122525000
oct267350320
9110437826
1048091344
1125167814
1214132780
139c6a722
14655c000
15434e449
hex2ddd0d0

48091344 has 160 divisors (see below), whose sum is σ = 152371200. Its totient is φ = 13039488.

The previous prime is 48091343. The next prime is 48091369. The reversal of 48091344 is 44319084.

It is a happy number.

48091344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480913443 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48091343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 378609 + ... + 378735.

It is an arithmetic number, because the mean of its divisors is an integer number (952320).

Almost surely, 248091344 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 48091344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76185600).

48091344 is an abundant number, since it is smaller than the sum of its proper divisors (104279856).

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

48091344 is a wasteful number, since it uses less digits than its factorization.

48091344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48091344 is about 6934.7922823975. The cubic root of 48091344 is about 363.6545045192.

The spelling of 48091344 in words is "forty-eight million, ninety-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 127 138 147 161 168 184 196 254 276 294 322 336 343 368 381 392 483 508 552 588 644 686 762 784 889 966 1016 1029 1104 1127 1176 1288 1372 1524 1778 1932 2032 2058 2254 2352 2576 2667 2744 2921 3048 3381 3556 3864 4116 4508 5334 5488 5842 6096 6223 6762 7112 7728 7889 8232 8763 9016 10668 11684 12446 13524 14224 15778 16464 17526 18032 18669 20447 21336 23368 23667 24892 27048 31556 35052 37338 40894 42672 43561 46736 47334 49784 54096 61341 63112 70104 74676 81788 87122 94668 99568 122682 126224 130683 140208 143129 149352 163576 174244 189336 245364 261366 286258 298704 327152 348488 378672 429387 490728 522732 572516 696976 858774 981456 1001903 1045464 1145032 1717548 2003806 2090928 2290064 3005709 3435096 4007612 6011418 6870192 8015224 12022836 16030448 24045672 48091344