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48355296 = 25311291579
BaseRepresentation
bin1011100001110…
…1011111100000
310100222200222220
42320131133200
544334332141
64444231040
71125004353
oct270353740
9110880886
1048355296
1125328060
121423b480
13a030902
1465ca29a
1543a2766
hex2e1d7e0

48355296 has 96 divisors (see below), whose sum is σ = 143337600. Its totient is φ = 14138880.

The previous prime is 48355291. The next prime is 48355297. The reversal of 48355296 is 69255384.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48355291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29835 + ... + 31413.

It is an arithmetic number, because the mean of its divisors is an integer number (1493100).

Almost surely, 248355296 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 48355296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71668800).

48355296 is an abundant number, since it is smaller than the sum of its proper divisors (94982304).

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

48355296 is a wasteful number, since it uses less digits than its factorization.

48355296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1624 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 48355296 is about 6953.7972360431. The cubic root of 48355296 is about 364.3186036324.

The spelling of 48355296 in words is "forty-eight million, three hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1579 1914 2552 2784 3158 3828 4737 5104 6316 7656 9474 10208 12632 15312 17369 18948 25264 30624 34738 37896 45791 50528 52107 69476 75792 91582 104214 137373 138952 151584 183164 208428 274746 277904 366328 416856 503701 549492 555808 732656 833712 1007402 1098984 1465312 1511103 1667424 2014804 2197968 3022206 4029608 4395936 6044412 8059216 12088824 16118432 24177648 48355296