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742287820 = 2251910917921
BaseRepresentation
bin101100001111100…
…110100111001100
31220201202010110111
4230033212213030
53010011202240
6201353445404
724252225301
oct5417464714
91821663414
10742287820
1135100290a
12188710864
13baa27381
14708250a8
15452771ea
hex2c3e69cc

742287820 has 48 divisors (see below), whose sum is σ = 1655992800. Its totient is φ = 278691840.

The previous prime is 742287803. The next prime is 742287851. The reversal of 742287820 is 28782247.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32460 + ... + 50380.

It is an arithmetic number, because the mean of its divisors is an integer number (34499850).

Almost surely, 2742287820 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 742287820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827996400).

742287820 is an abundant number, since it is smaller than the sum of its proper divisors (913704980).

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

742287820 is a wasteful number, since it uses less digits than its factorization.

742287820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18058 (or 18056 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 742287820 is about 27244.9595338294. The cubic root of 742287820 is about 905.4353470495.

The spelling of 742287820 in words is "seven hundred forty-two million, two hundred eighty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 436 545 1090 2071 2180 4142 8284 10355 17921 20710 35842 41420 71684 89605 179210 340499 358420 680998 1361996 1702495 1953389 3404990 3906778 6809980 7813556 9766945 19533890 37114391 39067780 74228782 148457564 185571955 371143910 742287820