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42356448 = 2532612411
BaseRepresentation
bin1010000110010…
…0111011100000
32221200221010100
42201210323200
541320401243
64111502400
71023011121
oct241447340
987627110
1042356448
1121a00032
1212227a00
138a102b4
1458a8048
153aba0d3
hex2864ee0

42356448 has 72 divisors (see below), whose sum is σ = 122476536. Its totient is φ = 13881600.

The previous prime is 42356441. The next prime is 42356467. The reversal of 42356448 is 84465324.

42356448 is a `hidden beast` number, since 4 + 2 + 3 + 5 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42356441) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16363 + ... + 18773.

It is an arithmetic number, because the mean of its divisors is an integer number (1701063).

Almost surely, 242356448 is an apocalyptic number.

42356448 is a gapful number since it is divisible by the number (48) 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 42356448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61238268).

42356448 is an abundant number, since it is smaller than the sum of its proper divisors (80120088).

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

42356448 is a wasteful number, since it uses less digits than its factorization.

42356448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2477 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 42356448 is about 6508.1831566114. The cubic root of 42356448 is about 348.5832470622.

The spelling of 42356448 in words is "forty-two million, three hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2411 2928 4392 4822 5856 7233 8784 9644 14466 17568 19288 21699 28932 38576 43398 57864 77152 86796 115728 147071 173592 231456 294142 347184 441213 588284 694368 882426 1176568 1323639 1764852 2353136 2647278 3529704 4706272 5294556 7059408 10589112 14118816 21178224 42356448