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42922980 = 22335101787
BaseRepresentation
bin1010001110111…
…1001111100100
32222202201021000
42203233033210
541442013410
64131553300
71030560612
oct243571744
988681230
1042922980
1122257741
121245b830
138b7b119
1459b46b2
153b7cdc0
hex28ef3e4

42922980 has 96 divisors (see below), whose sum is σ = 135031680. Its totient is φ = 11318400.

The previous prime is 42922973. The next prime is 42922981. The reversal of 42922980 is 8922924.

42922980 is a `hidden beast` number, since 429 + 229 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42922981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54147 + ... + 54933.

It is an arithmetic number, because the mean of its divisors is an integer number (1406580).

Almost surely, 242922980 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 42922980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67515840).

42922980 is an abundant number, since it is smaller than the sum of its proper divisors (92108700).

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

42922980 is a wasteful number, since it uses less digits than its factorization.

42922980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42922980 is about 6551.5631722513. The cubic root of 42922980 is about 350.1305091524.

It can be divided in two parts, 429 and 22980, that added together give a square (23409 = 1532).

The spelling of 42922980 in words is "forty-two million, nine hundred twenty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 787 909 1010 1212 1515 1574 1818 2020 2361 2727 3030 3148 3636 3935 4545 4722 5454 6060 7083 7870 9090 9444 10908 11805 13635 14166 15740 18180 21249 23610 27270 28332 35415 42498 47220 54540 70830 79487 84996 106245 141660 158974 212490 238461 317948 397435 424980 476922 715383 794870 953844 1192305 1430766 1589740 2146149 2384610 2861532 3576915 4292298 4769220 7153830 8584596 10730745 14307660 21461490 42922980