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842057700 = 22352111092341
BaseRepresentation
bin110010001100001…
…100011111100100
32011200110222000020
4302030030133210
53211031321300
6215320115140
726603241501
oct6214143744
92150428006
10842057700
113a2357460
121b6005ab0
131055ba1c3
147db964a8
154ddd38a0
hex3230c7e4

842057700 has 144 divisors (see below), whose sum is σ = 2683369920. Its totient is φ = 202176000.

The previous prime is 842057663. The next prime is 842057731. The reversal of 842057700 is 7750248.

It is a super-2 number, since 2×8420577002 = 1418122340258580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358530 + ... + 360870.

Almost surely, 2842057700 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 842057700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341684960).

842057700 is an abundant number, since it is smaller than the sum of its proper divisors (1841312220).

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

842057700 is a wasteful number, since it uses less digits than its factorization.

842057700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 842057700 is about 29018.2304767193. The cubic root of 842057700 is about 944.3086121710.

The spelling of 842057700 in words is "eight hundred forty-two million, fifty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 109 110 132 150 165 218 220 275 300 327 330 436 545 550 654 660 825 1090 1100 1199 1308 1635 1650 2180 2341 2398 2725 3270 3300 3597 4682 4796 5450 5995 6540 7023 7194 8175 9364 10900 11705 11990 14046 14388 16350 17985 23410 23980 25751 28092 29975 32700 35115 35970 46820 51502 58525 59950 70230 71940 77253 89925 103004 117050 119900 128755 140460 154506 175575 179850 234100 255169 257510 309012 351150 359700 386265 510338 515020 643775 702300 765507 772530 1020676 1275845 1287550 1531014 1545060 1931325 2551690 2575100 2806859 3062028 3827535 3862650 5103380 5613718 6379225 7655070 7725300 8420577 11227436 12758450 14034295 15310140 16841154 19137675 25516900 28068590 33682308 38275350 42102885 56137180 70171475 76550700 84205770 140342950 168411540 210514425 280685900 421028850 842057700