Search a number
-
+
42850624 = 2619131269
BaseRepresentation
bin1010001101110…
…1100101000000
32222122001000011
42203131211000
541432204444
64130234304
71030136635
oct243354500
988561004
1042850624
1122208343
1212425994
138b541cb
14599618c
153b66734
hex28dd940

42850624 has 56 divisors (see below), whose sum is σ = 90525600. Its totient is φ = 20067840.

The previous prime is 42850597. The next prime is 42850637. The reversal of 42850624 is 42605824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159162 + ... + 159430.

Almost surely, 242850624 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 42850624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45262800).

42850624 is an abundant number, since it is smaller than the sum of its proper divisors (47674976).

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

42850624 is a wasteful number, since it uses less digits than its factorization.

42850624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 42850624 is about 6546.0388022070. The cubic root of 42850624 is about 349.9336581741.

The spelling of 42850624 in words is "forty-two million, eight hundred fifty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 131 152 262 269 304 524 538 608 1048 1076 1216 2096 2152 2489 4192 4304 4978 5111 8384 8608 9956 10222 17216 19912 20444 35239 39824 40888 70478 79648 81776 140956 159296 163552 281912 327104 563824 669541 1127648 1339082 2255296 2678164 5356328 10712656 21425312 42850624