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48689344 = 2611233197
BaseRepresentation
bin1011100110111…
…1000011000000
310101121200020001
42321233003000
544431024334
64455325344
71130565304
oct271570300
9111550201
1048689344
1125536030
1214380854
13a119982
146675d04
15441b714
hex2e6f0c0

48689344 has 112 divisors (see below), whose sum is σ = 114702336. Its totient is φ = 20275200.

The previous prime is 48689323. The next prime is 48689353. The reversal of 48689344 is 44398684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 48689294 and 48689303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501904 + ... + 502000.

It is an arithmetic number, because the mean of its divisors is an integer number (1024128).

Almost surely, 248689344 is an apocalyptic number.

48689344 is a gapful number since it is divisible by the number (44) 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 48689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57351168).

48689344 is an abundant number, since it is smaller than the sum of its proper divisors (66012992).

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

48689344 is a wasteful number, since it uses less digits than its factorization.

48689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 48689344 is about 6977.7750035380. The cubic root of 48689344 is about 365.1556076367.

The spelling of 48689344 in words is "forty-eight million, six hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 31 32 44 46 62 64 88 92 97 124 176 184 194 248 253 341 352 368 388 496 506 682 704 713 736 776 992 1012 1067 1364 1426 1472 1552 1984 2024 2134 2231 2728 2852 3007 3104 4048 4268 4462 5456 5704 6014 6208 7843 8096 8536 8924 10912 11408 12028 15686 16192 17072 17848 21824 22816 24056 24541 31372 33077 34144 35696 45632 48112 49082 62744 66154 68288 69161 71392 96224 98164 125488 132308 138322 142784 192448 196328 250976 264616 276644 392656 501952 529232 553288 760771 785312 1058464 1106576 1521542 1570624 2116928 2213152 3043084 4426304 6086168 12172336 24344672 48689344