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42273024 = 283192897
BaseRepresentation
bin1010000101000…
…0100100000000
32221112200200120
42201100210000
541310214044
64110020240
71022212653
oct241204400
987480616
1042273024
1121953392
12121a7680
1389b1331
14588589a
153aa0519
hex2850900

42273024 has 72 divisors (see below), whose sum is σ = 118470240. Its totient is φ = 13344768.

The previous prime is 42273001. The next prime is 42273029. The reversal of 42273024 is 42037224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42272985 and 42273003.

It is not an unprimeable number, because it can be changed into a prime (42273029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13144 + ... + 16040.

It is an arithmetic number, because the mean of its divisors is an integer number (1645420).

Almost surely, 242273024 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 42273024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59235120).

42273024 is an abundant number, since it is smaller than the sum of its proper divisors (76197216).

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

42273024 is a wasteful number, since it uses less digits than its factorization.

42273024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 42273024 is about 6501.7708357031. The cubic root of 42273024 is about 348.3542435855.

The spelling of 42273024 in words is "forty-two million, two hundred seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 2897 3648 4864 5794 7296 8691 11588 14592 17382 23176 34764 46352 55043 69528 92704 110086 139056 165129 185408 220172 278112 330258 370816 440344 556224 660516 741632 880688 1112448 1321032 1761376 2224896 2642064 3522752 5284128 7045504 10568256 14091008 21136512 42273024