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422765720 = 235131395849
BaseRepresentation
bin11001001100101…
…110010010011000
31002110111201112122
4121030232102120
51331212000340
6105541200412
713322310056
oct3114562230
91073451478
10422765720
111a7705163
12b9700108
1369782840
144020d1d6
15271addb5
hex1932e498

422765720 has 64 divisors (see below), whose sum is σ = 1031940000. Its totient is φ = 154948608.

The previous prime is 422765671. The next prime is 422765731. The reversal of 422765720 is 27567224.

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, 69356 + ... + 75204.

Almost surely, 2422765720 is an apocalyptic number.

422765720 is a gapful number since it is divisible by the number (40) 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 422765720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515970000).

422765720 is an abundant number, since it is smaller than the sum of its proper divisors (609174280).

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

422765720 is a wasteful number, since it uses less digits than its factorization.

422765720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012 (or 6008 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 422765720 is about 20561.2674706595. The cubic root of 422765720 is about 750.5274630308.

The spelling of 422765720 in words is "four hundred twenty-two million, seven hundred sixty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 139 260 278 520 556 695 1112 1390 1807 2780 3614 5560 5849 7228 9035 11698 14456 18070 23396 29245 36140 46792 58490 72280 76037 116980 152074 233960 304148 380185 608296 760370 813011 1520740 1626022 3041480 3252044 4065055 6504088 8130110 10569143 16260220 21138286 32520440 42276572 52845715 84553144 105691430 211382860 422765720