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48347136 = 211324361
BaseRepresentation
bin1011100001101…
…1100000000000
310100222021210200
42320123200000
544334102021
64444125200
71124641515
oct270334000
9110867720
1048347136
1125321a12
1214236800
13a029c96
1465c730c
1543a0126
hex2e1b800

48347136 has 144 divisors (see below), whose sum is σ = 145225080. Its totient is φ = 15482880.

The previous prime is 48347129. The next prime is 48347171. The reversal of 48347136 is 63174384.

48347136 is a `hidden beast` number, since 483 + 47 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48347136.

It is a congruent number.

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, 792546 + ... + 792606.

Almost surely, 248347136 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 48347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72612540).

48347136 is an abundant number, since it is smaller than the sum of its proper divisors (96877944).

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

48347136 is a wasteful number, since it uses less digits than its factorization.

48347136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 48347136 is about 6953.2104814970. The cubic root of 48347136 is about 364.2981094481.

The spelling of 48347136 in words is "forty-eight million, three hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 61 64 72 86 96 122 128 129 144 172 183 192 244 256 258 288 344 366 384 387 488 512 516 549 576 688 732 768 774 976 1024 1032 1098 1152 1376 1464 1536 1548 1952 2048 2064 2196 2304 2623 2752 2928 3072 3096 3904 4128 4392 4608 5246 5504 5856 6144 6192 7808 7869 8256 8784 9216 10492 11008 11712 12384 15616 15738 16512 17568 18432 20984 22016 23424 23607 24768 31232 31476 33024 35136 41968 44032 46848 47214 49536 62464 62952 66048 70272 83936 88064 93696 94428 99072 124928 125904 132096 140544 167872 187392 188856 198144 251808 264192 281088 335744 374784 377712 396288 503616 562176 671488 755424 792576 1007232 1124352 1342976 1510848 2014464 2685952 3021696 4028928 5371904 6043392 8057856 12086784 16115712 24173568 48347136