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942220672 = 2729412151
BaseRepresentation
bin111000001010010…
…010010110000000
32102122221202202221
4320022102112000
53412202030142
6233255020424
732230513021
oct7012222600
92378852687
10942220672
1144394a378
1222366a714
13120289c33
148d1cac48
1557abb767
hex38292580

942220672 has 96 divisors (see below), whose sum is σ = 2003504400. Its totient is φ = 440832000.

The previous prime is 942220667. The next prime is 942220673. The reversal of 942220672 is 276022249.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942220673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6239797 + ... + 6239947.

Almost surely, 2942220672 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 942220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001752200).

942220672 is an abundant number, since it is smaller than the sum of its proper divisors (1061283728).

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

942220672 is a wasteful number, since it uses less digits than its factorization.

942220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 942220672 is about 30695.6132370735. The cubic root of 942220672 is about 980.3568990235.

The spelling of 942220672 in words is "nine hundred forty-two million, two hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 151 164 232 302 328 464 604 656 928 1189 1208 1312 1681 1856 2378 2416 2624 3362 3712 4379 4756 4832 5248 6191 6724 8758 9512 9664 12382 13448 17516 19024 19328 24764 26896 35032 38048 48749 49528 53792 70064 76096 97498 99056 107584 140128 152192 179539 194996 198112 215168 253831 280256 359078 389992 396224 507662 560512 718156 779984 792448 1015324 1436312 1559968 2030648 2872624 3119936 4061296 5745248 6239872 7361099 8122592 11490496 14722198 16245184 22980992 29444396 32490368 58888792 117777584 235555168 471110336 942220672