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48242688 = 213313151
BaseRepresentation
bin1011100000001…
…0000000000000
310100202222112020
42320002000000
544322231223
64442001440
71124025144
oct270020000
9110688466
1048242688
112526049a
12141a6280
139cc1590
14659b224
15437e1e3
hex2e02000

48242688 has 112 divisors (see below), whose sum is σ = 139452096. Its totient is φ = 14745600.

The previous prime is 48242681. The next prime is 48242699. The reversal of 48242688 is 88624284.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48242681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319413 + ... + 319563.

It is an arithmetic number, because the mean of its divisors is an integer number (1245108).

Almost surely, 248242688 is an apocalyptic number.

48242688 is a gapful number since it is divisible by the number (48) 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 48242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69726048).

48242688 is an abundant number, since it is smaller than the sum of its proper divisors (91209408).

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

48242688 is a wasteful number, since it uses less digits than its factorization.

48242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 48242688 is about 6945.6956455059. The cubic root of 48242688 is about 364.0355799862.

The spelling of 48242688 in words is "forty-eight million, two hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 151 156 192 208 256 302 312 384 416 453 512 604 624 768 832 906 1024 1208 1248 1536 1664 1812 1963 2048 2416 2496 3072 3328 3624 3926 4096 4832 4992 5889 6144 6656 7248 7852 8192 9664 9984 11778 12288 13312 14496 15704 19328 19968 23556 24576 26624 28992 31408 38656 39936 47112 53248 57984 62816 77312 79872 94224 106496 115968 125632 154624 159744 188448 231936 251264 309248 319488 376896 463872 502528 618496 753792 927744 1005056 1236992 1507584 1855488 2010112 3015168 3710976 4020224 6030336 8040448 12060672 16080896 24121344 48242688