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48621312 = 283247449
BaseRepresentation
bin1011100101111…
…0011100000000
310101111012220100
42321132130000
544421340222
64454042400
71130163045
oct271363400
9111435810
1048621312
1125499a03
1214349400
13a0c4a0c
1466591cc
1544064ac
hex2e5e700

48621312 has 108 divisors (see below), whose sum is σ = 143488800. Its totient is φ = 15826944.

The previous prime is 48621289. The next prime is 48621319. The reversal of 48621312 is 21312684.

48621312 is a `hidden beast` number, since 4 + 8 + 621 + 31 + 2 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48621319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108064 + ... + 108512.

It is an arithmetic number, because the mean of its divisors is an integer number (1328600).

Almost surely, 248621312 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 48621312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71744400).

48621312 is an abundant number, since it is smaller than the sum of its proper divisors (94867488).

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

48621312 is a wasteful number, since it uses less digits than its factorization.

48621312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 48621312 is about 6972.8983930644. The cubic root of 48621312 is about 364.9854551031.

Adding to 48621312 its reverse (21312684), we get a palindrome (69933996).

The spelling of 48621312 in words is "forty-eight million, six hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 449 564 576 752 768 846 898 1128 1152 1347 1504 1692 1796 2256 2304 2694 3008 3384 3592 4041 4512 5388 6016 6768 7184 8082 9024 10776 12032 13536 14368 16164 18048 21103 21552 27072 28736 32328 36096 42206 43104 54144 57472 63309 64656 84412 86208 108288 114944 126618 129312 168824 172416 189927 253236 258624 337648 344832 379854 506472 517248 675296 759708 1012944 1034496 1350592 1519416 2025888 2701184 3038832 4051776 5402368 6077664 8103552 12155328 16207104 24310656 48621312