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42558532448 = 252322514091
BaseRepresentation
bin100111101000101011…
…111010101101100000
311001211222101110012112
4213220223322231200
51144124441014243
631315013014452
73034432362035
oct475053725540
9131758343175
1042558532448
111705a200373
1282b8924428
1340231669a3
1420ba2d738c
151191425818
hex9e8afab60

42558532448 has 36 divisors (see below), whose sum is σ = 87588451188. Its totient is φ = 20354072640.

The previous prime is 42558532447. The next prime is 42558532507. The reversal of 42558532448 is 84423585524.

It is a super-2 number, since 2×425585324482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42558532396 and 42558532405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42558532447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1240118 + ... + 1273973.

It is an arithmetic number, because the mean of its divisors is an integer number (2433012533).

Almost surely, 242558532448 is an apocalyptic number.

It is an amenable number.

42558532448 is an abundant number, since it is smaller than the sum of its proper divisors (45029918740).

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

42558532448 is a wasteful number, since it uses less digits than its factorization.

42558532448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514147 (or 2514116 counting only the distinct ones).

The product of its digits is 6144000, while the sum is 50.

The spelling of 42558532448 in words is "forty-two billion, five hundred fifty-eight million, five hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 8464 16928 2514091 5028182 10056364 20112728 40225456 57824093 80450912 115648186 231296372 462592744 925185488 1329954139 1850370976 2659908278 5319816556 10639633112 21279266224 42558532448