Search a number
-
+
42923520 = 2936523
BaseRepresentation
bin1010001110111…
…1011000000000
32222202202000000
42203233120000
541442023040
64132000000
71030562313
oct243573000
988682000
1042923520
1122258092
1212460000
138b7b443
1459b497a
153b7d130
hex28ef600

42923520 has 280 divisors, whose sum is σ = 161012016. Its totient is φ = 10948608.

The previous prime is 42923501. The next prime is 42923537. The reversal of 42923520 is 2532924.

42923520 is a `hidden beast` number, since 429 + 235 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 1866229 + ... + 1866251.

Almost surely, 242923520 is an apocalyptic number.

42923520 is a gapful number since it is divisible by the number (40) 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 42923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80506008).

42923520 is an abundant number, since it is smaller than the sum of its proper divisors (118088496).

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

42923520 is an frugal number, since it uses more digits than its factorization.

42923520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42923520 is about 6551.6043836605. The cubic root of 42923520 is about 350.1319774388.

The spelling of 42923520 in words is "forty-two million, nine hundred twenty-three thousand, five hundred twenty".