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48208224 = 2533197167
BaseRepresentation
bin1011011111100…
…1100101100000
310100201020020210
42313321211200
544320130344
64441134120
71123522521
oct267714540
9110636223
1048208224
1125237609
121418a340
139cab99c
14658c848
154373db9
hex2df9960

48208224 has 96 divisors (see below), whose sum is σ = 132765696. Its totient is φ = 15298560.

The previous prime is 48208211. The next prime is 48208241. The reversal of 48208224 is 42280284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×482082242 = 4648065722468352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48208191 and 48208200.

It is a congruent number.

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, 288589 + ... + 288755.

It is an arithmetic number, because the mean of its divisors is an integer number (1382976).

Almost surely, 248208224 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 48208224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66382848).

48208224 is an abundant number, since it is smaller than the sum of its proper divisors (84557472).

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

48208224 is a wasteful number, since it uses less digits than its factorization.

48208224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 48208224 is about 6943.2142412574. The cubic root of 48208224 is about 363.9488717786.

The spelling of 48208224 in words is "forty-eight million, two hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 97 124 167 186 194 248 291 334 372 388 496 501 582 668 744 776 992 1002 1164 1336 1488 1552 2004 2328 2672 2976 3007 3104 4008 4656 5177 5344 6014 8016 9021 9312 10354 12028 15531 16032 16199 18042 20708 24056 31062 32398 36084 41416 48112 48597 62124 64796 72168 82832 96224 97194 124248 129592 144336 165664 194388 248496 259184 288672 388776 496992 502169 518368 777552 1004338 1506507 1555104 2008676 3013014 4017352 6026028 8034704 12052056 16069408 24104112 48208224