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48626028 = 2233112612
BaseRepresentation
bin1011100101111…
…1100101101100
310101111110101000
42321133211230
544422013103
64454120300
71130212563
oct271374554
9111443330
1048626028
11254a2500
1214350090
13a0c6bc9
14665abda
154407aa3
hex2e5f96c

48626028 has 108 divisors (see below), whose sum is σ = 140878920. Its totient is φ = 14493600.

The previous prime is 48626027. The next prime is 48626033. The reversal of 48626028 is 82062684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48626028 is a `hidden beast` number, since 4 + 8 + 626 + 0 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a junction number, because it is equal to n+sod(n) for n = 48625983 and 48626001.

It is not an unprimeable number, because it can be changed into a prime (48626027) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 797118 + ... + 797178.

Almost surely, 248626028 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 48626028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70439460).

48626028 is an abundant number, since it is smaller than the sum of its proper divisors (92252892).

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

48626028 is a wasteful number, since it uses less digits than its factorization.

48626028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48626028 is about 6973.2365512723. The cubic root of 48626028 is about 364.9972552493.

The spelling of 48626028 in words is "forty-eight million, six hundred twenty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 121 122 132 183 198 242 244 297 363 366 396 484 549 594 671 726 732 1089 1098 1188 1342 1452 1647 2013 2178 2196 2684 3267 3294 3721 4026 4356 6039 6534 6588 7381 7442 8052 11163 12078 13068 14762 14884 18117 22143 22326 24156 29524 33489 36234 40931 44286 44652 66429 66978 72468 81862 88572 100467 122793 132858 133956 163724 199287 200934 245586 265716 368379 398574 401868 450241 491172 736758 797148 900482 1105137 1350723 1473516 1800964 2210274 2701446 4052169 4420548 5402892 8104338 12156507 16208676 24313014 48626028