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48463872 = 21531729
BaseRepresentation
bin1011100011100…
…0000000000000
310101012012221020
42320320000000
544401320442
64450425440
71125636042
oct270700000
9111165836
1048463872
11253a1696
1214292280
13a06b162
146617a92
1543c49ec
hex2e38000

48463872 has 128 divisors (see below), whose sum is σ = 141555600. Its totient is φ = 14680064.

The previous prime is 48463861. The next prime is 48463873. The reversal of 48463872 is 27836484.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48463873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1671154 + ... + 1671182.

Almost surely, 248463872 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 48463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70777800).

48463872 is an abundant number, since it is smaller than the sum of its proper divisors (93091728).

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

48463872 is an equidigital number, since it uses as much as digits as its factorization.

48463872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 48463872 is about 6961.5998161342. The cubic root of 48463872 is about 364.5910776637.

The spelling of 48463872 in words is "forty-eight million, four hundred sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 256 272 348 384 408 464 493 512 544 696 768 816 928 986 1024 1088 1392 1479 1536 1632 1856 1972 2048 2176 2784 2958 3072 3264 3712 3944 4096 4352 5568 5916 6144 6528 7424 7888 8192 8704 11136 11832 12288 13056 14848 15776 16384 17408 22272 23664 24576 26112 29696 31552 32768 34816 44544 47328 49152 52224 59392 63104 69632 89088 94656 98304 104448 118784 126208 139264 178176 189312 208896 237568 252416 278528 356352 378624 417792 475136 504832 557056 712704 757248 835584 950272 1009664 1425408 1514496 1671168 2019328 2850816 3028992 4038656 6057984 8077312 12115968 16154624 24231936 48463872