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48866496 = 2637103353
BaseRepresentation
bin1011101001101…
…0010011000000
310101221200020020
42322122103000
5100002211441
64503213440
71132233630
oct272322300
9111850206
1048866496
1125647138
1214447280
13a17c4b3
1466c06c0
154453e66
hex2e9a4c0

48866496 has 112 divisors (see below), whose sum is σ = 149620224. Its totient is φ = 13787136.

The previous prime is 48866471. The next prime is 48866549. The reversal of 48866496 is 69466884.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138256 + ... + 138608.

Almost surely, 248866496 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 48866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74810112).

48866496 is an abundant number, since it is smaller than the sum of its proper divisors (100753728).

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

48866496 is a wasteful number, since it uses less digits than its factorization.

48866496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 48866496 is about 6990.4574957581. The cubic root of 48866496 is about 365.5979340619.

The spelling of 48866496 in words is "forty-eight million, eight hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 353 412 448 618 672 706 721 824 1059 1236 1344 1412 1442 1648 2118 2163 2471 2472 2824 2884 3296 4236 4326 4942 4944 5648 5768 6592 7413 8472 8652 9884 9888 11296 11536 14826 16944 17304 19768 19776 22592 23072 29652 33888 34608 36359 39536 46144 59304 67776 69216 72718 79072 109077 118608 138432 145436 158144 218154 237216 254513 290872 436308 474432 509026 581744 763539 872616 1018052 1163488 1527078 1745232 2036104 2326976 3054156 3490464 4072208 6108312 6980928 8144416 12216624 16288832 24433248 48866496