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48572928 = 293283127
BaseRepresentation
bin1011100101001…
…0101000000000
310101101202112100
42321102220000
544413313203
64453030400
71126602015
oct271225000
9111352470
1048572928
1125466618
1214325400
13a0a89a1
14664570c
1543e6ea3
hex2e52a00

48572928 has 120 divisors (see below), whose sum is σ = 142990848. Its totient is φ = 15869952.

The previous prime is 48572921. The next prime is 48572933. The reversal of 48572928 is 82927584.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a cake number, because a cake can be divided into 48572928 parts by 663 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (48572921) 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, 382401 + ... + 382527.

Almost surely, 248572928 is an apocalyptic number.

48572928 is a gapful number since it is divisible by the number (48) 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 48572928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

48572928 is an abundant number, since it is smaller than the sum of its proper divisors (94417920).

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

48572928 is a wasteful number, since it uses less digits than its factorization.

48572928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 48572928 is about 6969.4280970536. The cubic root of 48572928 is about 364.8643469133.

The spelling of 48572928 in words is "forty-eight million, five hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 127 128 144 166 192 249 254 256 288 332 381 384 498 508 512 576 664 747 762 768 996 1016 1143 1152 1328 1494 1524 1536 1992 2032 2286 2304 2656 2988 3048 3984 4064 4572 4608 5312 5976 6096 7968 8128 9144 10541 10624 11952 12192 15936 16256 18288 21082 21248 23904 24384 31623 31872 32512 36576 42164 42496 47808 48768 63246 63744 65024 73152 84328 94869 95616 97536 126492 127488 146304 168656 189738 191232 195072 252984 292608 337312 379476 382464 505968 585216 674624 758952 1011936 1349248 1517904 2023872 2698496 3035808 4047744 5396992 6071616 8095488 12143232 16190976 24286464 48572928