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42450072 = 2337236097
BaseRepresentation
bin1010000111101…
…1110010011000
32221212200112220
42201323302120
541331400242
64113504040
71023551100
oct241736230
987780486
1042450072
1121a64405
1212272020
138a43ab2
1458d0200
153ad7bec
hex287bc98

42450072 has 48 divisors (see below), whose sum is σ = 123455160. Its totient is φ = 12128256.

The previous prime is 42450059. The next prime is 42450077. The reversal of 42450072 is 27005424.

42450072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424500722 = 3604017225610368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42450077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16873 + ... + 19224.

Almost surely, 242450072 is an apocalyptic number.

42450072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42450072 is an abundant number, since it is smaller than the sum of its proper divisors (81005088).

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

42450072 is a wasteful number, since it uses less digits than its factorization.

42450072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36120 (or 36109 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 42450072 is about 6515.3719771015. The cubic root of 42450072 is about 348.8398922965.

Adding to 42450072 its reverse (27005424), we get a palindrome (69455496).

The spelling of 42450072 in words is "forty-two million, four hundred fifty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 36097 72194 108291 144388 216582 252679 288776 433164 505358 758037 866328 1010716 1516074 1768753 2021432 3032148 3537506 5306259 6064296 7075012 10612518 14150024 21225036 42450072