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42108528 = 24371111393
BaseRepresentation
bin1010000010100…
…0011001110000
32221020100001010
42200220121300
541234433103
64102310520
71020626250
oct240503160
987210033
1042108528
1121850840
1212128440
1389544b7
145841960
153a6b903
hex2828670

42108528 has 80 divisors (see below), whose sum is σ = 135634176. Its totient is φ = 10936320.

The previous prime is 42108527. The next prime is 42108529. The reversal of 42108528 is 82580124.

It is an interprime number because it is at equal distance from previous prime (42108527) and next prime (42108529).

It is a junction number, because it is equal to n+sod(n) for n = 42108495 and 42108504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42108527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001 + ... + 9392.

Almost surely, 242108528 is an apocalyptic number.

42108528 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 42108528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67817088).

42108528 is an abundant number, since it is smaller than the sum of its proper divisors (93525648).

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

42108528 is a wasteful number, since it uses less digits than its factorization.

42108528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422 (or 11416 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 42108528 is about 6489.1084133338. The cubic root of 42108528 is about 347.9018087352.

The spelling of 42108528 in words is "forty-two million, one hundred eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 11393 22786 34179 45572 68358 79751 91144 125323 136716 159502 182288 239253 250646 273432 319004 375969 478506 501292 546864 638008 751938 877261 957012 1002584 1276016 1503876 1754522 1914024 2005168 2631783 3007752 3509044 3828048 5263566 6015504 7018088 10527132 14036176 21054264 42108528