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84952980 = 223257191353
BaseRepresentation
bin1010001000001…
…00011110010100
312220212001120200
411010010132110
5133221443410
612232500500
72051042220
oct504043624
9186761520
1084952980
1143a54482
122454a730
13147a5948
14b3d5780
1576d13c0
hex5104794

84952980 has 144 divisors (see below), whose sum is σ = 296884224. Its totient is φ = 19261440.

The previous prime is 84952969. The next prime is 84952997. The reversal of 84952980 is 8925948.

84952980 is a `hidden beast` number, since 8 + 49 + 529 + 80 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240484 + ... + 240836.

It is an arithmetic number, because the mean of its divisors is an integer number (2061696).

Almost surely, 284952980 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 84952980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148442112).

84952980 is an abundant number, since it is smaller than the sum of its proper divisors (211931244).

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

84952980 is a wasteful number, since it uses less digits than its factorization.

84952980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 84952980 is about 9216.9940870112. The cubic root of 84952980 is about 439.6018781711.

The spelling of 84952980 in words is "eighty-four million, nine hundred fifty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 191 210 252 315 353 382 420 573 630 706 764 955 1059 1146 1260 1337 1412 1719 1765 1910 2118 2292 2471 2674 2865 3177 3438 3530 3820 4011 4236 4942 5295 5348 5730 6354 6685 6876 7060 7413 8022 8595 9884 10590 11460 12033 12355 12708 13370 14826 15885 16044 17190 20055 21180 22239 24066 24710 26740 29652 31770 34380 37065 40110 44478 48132 49420 60165 63540 67423 74130 80220 88956 111195 120330 134846 148260 202269 222390 240660 269692 337115 404538 444780 471961 606807 674230 809076 943922 1011345 1213614 1348460 1415883 1887844 2022690 2359805 2427228 2831766 3034035 4045380 4247649 4719610 5663532 6068070 7079415 8495298 9439220 12136140 14158830 16990596 21238245 28317660 42476490 84952980