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942419772 = 223471932153
BaseRepresentation
bin111000001011000…
…010111100111100
32102200022212220000
4320023002330330
53412224413042
6233303154300
732232302340
oct7013027474
92380285800
10942419772
11443a75a18
12223745990
13120329748
148d23d620
1557b0a74c
hex382c2f3c

942419772 has 120 divisors (see below), whose sum is σ = 2831527776. Its totient is φ = 267743232.

The previous prime is 942419743. The next prime is 942419773. The reversal of 942419772 is 277914249.

It is a happy number.

942419772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942419773) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 436648 + ... + 438800.

Almost surely, 2942419772 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 942419772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415763888).

942419772 is an abundant number, since it is smaller than the sum of its proper divisors (1889108004).

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

942419772 is a wasteful number, since it uses less digits than its factorization.

942419772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2358 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 942419772 is about 30698.8562001909. The cubic root of 942419772 is about 980.4259470068.

The spelling of 942419772 in words is "nine hundred forty-two million, four hundred nineteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 193 252 324 378 386 567 579 756 772 1134 1158 1351 1737 2153 2268 2316 2702 3474 4053 4306 5211 5404 6459 6948 8106 8612 10422 12159 12918 15071 15633 16212 19377 20844 24318 25836 30142 31266 36477 38754 45213 48636 58131 60284 62532 72954 77508 90426 109431 116262 135639 145908 174393 180852 218862 232524 271278 348786 406917 415529 437724 542556 697572 813834 831058 1220751 1246587 1627668 1662116 2441502 2493174 2908703 3739761 4883004 4986348 5817406 7479522 8726109 11219283 11634812 14959044 17452218 22438566 26178327 33657849 34904436 44877132 52356654 67315698 78534981 104713308 134631396 157069962 235604943 314139924 471209886 942419772