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870656490 = 2325112338237
BaseRepresentation
bin110011111001010…
…010100111101010
32020200021221011200
4303321102213222
53240342001430
6222221105030
730401313054
oct6371224752
92220257150
10870656490
11407510120
122036b8176
1310b4c1472
14838bc8d4
1551682460
hex33e529ea

870656490 has 96 divisors (see below), whose sum is σ = 2576935296. Its totient is φ = 201886080.

The previous prime is 870656453. The next prime is 870656519. The reversal of 870656490 is 94656078.

870656490 is a `hidden beast` number, since 87 + 0 + 6 + 564 + 9 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 3652 + ... + 41888.

It is an arithmetic number, because the mean of its divisors is an integer number (26843076).

Almost surely, 2870656490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870656490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288467648).

870656490 is an abundant number, since it is smaller than the sum of its proper divisors (1706278806).

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

870656490 is a wasteful number, since it uses less digits than its factorization.

870656490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38284 (or 38281 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 870656490 is about 29506.8888566721. Note that the first 4 decimals coincide. The cubic root of 870656490 is about 954.8803300247.

The spelling of 870656490 in words is "eight hundred seventy million, six hundred fifty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 11385 22770 38237 76474 114711 191185 229422 344133 382370 420607 573555 688266 841214 879451 1147110 1261821 1720665 1758902 2103035 2523642 2638353 3441330 3785463 4206070 4397255 5276706 6309105 7570926 7915059 8794510 9673961 12618210 13191765 15830118 18927315 19347922 26383530 29021883 37854630 39575295 48369805 58043766 79150590 87065649 96739610 145109415 174131298 290218830 435328245 870656490