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42901380 = 22335531499
BaseRepresentation
bin1010001110100…
…1111110000100
32222201121122000
42203221332010
541440321010
64131305300
71030440624
oct243517604
988647560
1042901380
1122242495
121244b230
138b71342
1459aa884
153b767c0
hex28e9f84

42901380 has 96 divisors (see below), whose sum is σ = 136080000. Its totient is φ = 11217024.

The previous prime is 42901367. The next prime is 42901403. The reversal of 42901380 is 8310924.

42901380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 27871 + ... + 29369.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 242901380 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 42901380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040000).

42901380 is an abundant number, since it is smaller than the sum of its proper divisors (93178620).

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

42901380 is a wasteful number, since it uses less digits than its factorization.

42901380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42901380 is about 6549.9145032588. The cubic root of 42901380 is about 350.0717675960.

The spelling of 42901380 in words is "forty-two million, nine hundred one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1499 1590 1908 2385 2862 2998 3180 4497 4770 5724 5996 7155 7495 8994 9540 13491 14310 14990 17988 22485 26982 28620 29980 40473 44970 53964 67455 79447 80946 89940 134910 158894 161892 202365 238341 269820 317788 397235 404730 476682 715023 794470 809460 953364 1191705 1430046 1588940 2145069 2383410 2860092 3575115 4290138 4766820 7150230 8580276 10725345 14300460 21450690 42901380