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48083232 = 25331107151
BaseRepresentation
bin1011011101101…
…1000100100000
310100110212210110
42313123010200
544302130412
64434331320
71122462231
oct267330440
9110425713
1048083232
112516170a
1214129b40
139c66b22
146559088
15434bd3c
hex2ddb120

48083232 has 96 divisors (see below), whose sum is σ = 132378624. Its totient is φ = 15264000.

The previous prime is 48083221. The next prime is 48083249. The reversal of 48083232 is 23238084.

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

It is a super-3 number, since 3×480832323 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48083232.

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, 318357 + ... + 318507.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 248083232 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 48083232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66189312).

48083232 is an abundant number, since it is smaller than the sum of its proper divisors (84295392).

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

48083232 is a wasteful number, since it uses less digits than its factorization.

48083232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 48083232 is about 6934.2073808042. The cubic root of 48083232 is about 363.6340564096.

The spelling of 48083232 in words is "forty-eight million, eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 107 124 151 186 214 248 302 321 372 428 453 496 604 642 744 856 906 992 1208 1284 1488 1712 1812 2416 2568 2976 3317 3424 3624 4681 4832 5136 6634 7248 9362 9951 10272 13268 14043 14496 16157 18724 19902 26536 28086 32314 37448 39804 48471 53072 56172 64628 74896 79608 96942 106144 112344 129256 149792 159216 193884 224688 258512 318432 387768 449376 500867 517024 775536 1001734 1502601 1551072 2003468 3005202 4006936 6010404 8013872 12020808 16027744 24041616 48083232