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942456690 = 232572474547
BaseRepresentation
bin111000001011001…
…011111101110010
32102200101202112100
4320023023331302
53412232103230
6233304041230
732232515100
oct7013137562
92380352470
10942456690
11443aa072a
12223763216
131203404a6
148d24cc70
1557b16660
hex382cbf72

942456690 has 144 divisors (see below), whose sum is σ = 2911738752. Its totient is φ = 210788928.

The previous prime is 942456661. The next prime is 942456707. The reversal of 942456690 is 96654249.

It is a super-2 number, since 2×9424566902 = 1776449225051512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 204997 + ... + 209543.

It is an arithmetic number, because the mean of its divisors is an integer number (20220408).

Almost surely, 2942456690 is an apocalyptic number.

942456690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 942456690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455869376).

942456690 is an abundant number, since it is smaller than the sum of its proper divisors (1969282062).

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

942456690 is a wasteful number, since it uses less digits than its factorization.

942456690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 942456690 is about 30699.4574870632. The cubic root of 942456690 is about 980.4387491195.

The spelling of 942456690 in words is "nine hundred forty-two million, four hundred fifty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 47 49 63 70 90 94 98 105 126 141 147 210 235 245 282 294 315 329 423 441 470 490 630 658 705 735 846 882 987 1410 1470 1645 1974 2115 2205 2303 2961 3290 4230 4410 4547 4606 4935 5922 6909 9094 9870 11515 13641 13818 14805 20727 22735 23030 27282 29610 31829 34545 40923 41454 45470 63658 68205 69090 81846 95487 103635 136410 159145 190974 204615 207270 213709 222803 286461 318290 409230 427418 445606 477435 572922 641127 668409 954870 1068545 1114015 1282254 1336818 1432305 1495963 1923381 2005227 2137090 2228030 2864610 2991926 3205635 3342045 3846762 4010454 4487889 6411270 6684090 7479815 8975778 9616905 10026135 10471741 13463667 14959630 19233810 20052270 20943482 22439445 26927334 31415223 44878890 52358705 62830446 67318335 94245669 104717410 134636670 157076115 188491338 314152230 471228345 942456690