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42450432 = 29329953
BaseRepresentation
bin1010000111101…
…1111000000000
32221212201001020
42201323320000
541331403212
64113505440
71023552123
oct241737000
987781036
1042450432
1121a64702
1212272280
138a43ccb
1458d03ba
153ad7d8c
hex287be00

42450432 has 80 divisors (see below), whose sum is σ = 117113040. Its totient is φ = 13647872.

The previous prime is 42450391. The next prime is 42450451. The reversal of 42450432 is 23405424.

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

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, 44068 + ... + 45020.

It is an arithmetic number, because the mean of its divisors is an integer number (1463913).

Almost surely, 242450432 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 42450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58556520).

42450432 is an abundant number, since it is smaller than the sum of its proper divisors (74662608).

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

42450432 is an equidigital number, since it uses as much as digits as its factorization.

42450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 42450432 is about 6515.3996040151. The cubic root of 42450432 is about 348.8408784118.

Adding to 42450432 its reverse (23405424), we get a palindrome (65855856).

The spelling of 42450432 in words is "forty-two million, four hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 953 1392 1536 1856 1906 2784 2859 3712 3812 5568 5718 7424 7624 11136 11436 14848 15248 22272 22872 27637 30496 44544 45744 55274 60992 82911 91488 110548 121984 165822 182976 221096 243968 331644 365952 442192 487936 663288 731904 884384 1326576 1463808 1768768 2653152 3537536 5306304 7075072 10612608 14150144 21225216 42450432