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42955352 = 231119231117
BaseRepresentation
bin1010001111011…
…1001001011000
32222211100122222
42203313021120
541444032402
64132403212
71031054156
oct243671130
988740588
1042955352
1122279aa0
1212476508
138b8ca8b
1459c23d6
153b877a2
hex28f7258

42955352 has 64 divisors (see below), whose sum is σ = 96595200. Its totient is φ = 17677440.

The previous prime is 42955313. The next prime is 42955361. The reversal of 42955352 is 25355924.

42955352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37898 + ... + 39014.

It is an arithmetic number, because the mean of its divisors is an integer number (1509300).

Almost surely, 242955352 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 42955352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48297600).

42955352 is an abundant number, since it is smaller than the sum of its proper divisors (53639848).

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

42955352 is a wasteful number, since it uses less digits than its factorization.

42955352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its digits is 54000, while the sum is 35.

The square root of 42955352 is about 6554.0332620456. The cubic root of 42955352 is about 350.2185084526.

The spelling of 42955352 in words is "forty-two million, nine hundred fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 418 437 506 836 874 1012 1117 1672 1748 2024 2234 3496 4468 4807 8936 9614 12287 19228 21223 24574 25691 38456 42446 49148 51382 84892 98296 102764 169784 205528 233453 282601 466906 488129 565202 933812 976258 1130404 1867624 1952516 2260808 3905032 5369419 10738838 21477676 42955352