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48188736 = 263379353
BaseRepresentation
bin1011011111010…
…0110101000000
310100200020112000
42313310311000
544314014421
64440504000
71123411641
oct267646500
9110606460
1048188736
1125223a02
121417b000
139ca2b5b
1465856c8
15436d226
hex2df4d40

48188736 has 112 divisors (see below), whose sum is σ = 143865600. Its totient is φ = 15814656.

The previous prime is 48188729. The next prime is 48188741. The reversal of 48188736 is 63788184.

48188736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48188691 and 48188700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136336 + ... + 136688.

Almost surely, 248188736 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 48188736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71932800).

48188736 is an abundant number, since it is smaller than the sum of its proper divisors (95676864).

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

48188736 is a wasteful number, since it uses less digits than its factorization.

48188736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 48188736 is about 6941.8107147919. The cubic root of 48188736 is about 363.8998234976.

The spelling of 48188736 in words is "forty-eight million, one hundred eighty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 353 432 474 576 632 706 711 864 948 1059 1264 1412 1422 1728 1896 2118 2133 2528 2824 2844 3177 3792 4236 4266 5056 5648 5688 6354 7584 8472 8532 9531 11296 11376 12708 15168 16944 17064 19062 22592 22752 25416 27887 33888 34128 38124 45504 50832 55774 67776 68256 76248 83661 101664 111548 136512 152496 167322 203328 223096 250983 304992 334644 446192 501966 609984 669288 752949 892384 1003932 1338576 1505898 1784768 2007864 2677152 3011796 4015728 5354304 6023592 8031456 12047184 16062912 24094368 48188736