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48394752 = 29372643
BaseRepresentation
bin1011100010011…
…1001000000000
310101001201010020
42320213020000
544342113002
64445133440
71125230400
oct270471000
9111051106
1048394752
112535476a
121425a280
13a045863
1465da800
1543ae2bc
hex2e27200

48394752 has 120 divisors (see below), whose sum is σ = 150209136. Its totient is φ = 13805568.

The previous prime is 48394741. The next prime is 48394769. The reversal of 48394752 is 25749384.

It is a super-2 number, since 2×483947522 = 4684104042283008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74943 + ... + 75585.

Almost surely, 248394752 is an apocalyptic number.

48394752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48394752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75104568).

48394752 is an abundant number, since it is smaller than the sum of its proper divisors (101814384).

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

48394752 is an equidigital number, since it uses as much as digits as its factorization.

48394752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 655 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 48394752 is about 6956.6336686648. The cubic root of 48394752 is about 364.4176665279.

It can be divided in two parts, 4839 and 4752, that added together give a triangular number (9591 = T138).

The spelling of 48394752 in words is "forty-eight million, three hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 643 672 768 784 896 1176 1286 1344 1536 1568 1792 1929 2352 2572 2688 3136 3584 3858 4501 4704 5144 5376 6272 7716 9002 9408 10288 10752 12544 13503 15432 18004 18816 20576 25088 27006 30864 31507 36008 37632 41152 54012 61728 63014 72016 75264 82304 94521 108024 123456 126028 144032 164608 189042 216048 246912 252056 288064 329216 378084 432096 493824 504112 576128 756168 864192 987648 1008224 1152256 1512336 1728384 2016448 2304512 3024672 3456768 4032896 6049344 6913536 8065792 12098688 16131584 24197376 48394752