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84938490 = 23357133457
BaseRepresentation
bin1010001000000…
…00111011111010
312220211022201000
411010000323322
5133221012430
612232305430
72050652040
oct504007372
9186738630
1084938490
1143a445aa
1224542276
131479c180
14b3d0390
1576cbe60
hex5100efa

84938490 has 128 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 17915904.

The previous prime is 84938479. The next prime is 84938501. The reversal of 84938490 is 9483948.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84938479) and next prime (84938501).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22842 + ... + 26298.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 284938490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84938490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

84938490 is an abundant number, since it is smaller than the sum of its proper divisors (193914630).

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

84938490 is a wasteful number, since it uses less digits than its factorization.

84938490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 84938490 is about 9216.2080054652. The cubic root of 84938490 is about 439.5768831939.

The spelling of 84938490 in words is "eighty-four million, nine hundred thirty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3457 3510 4095 4914 6914 8190 10371 12285 17285 20742 24199 24570 31113 34570 44941 48398 51855 62226 72597 89882 93339 103710 120995 134823 145194 155565 186678 217791 224705 241990 269646 311130 314587 362985 404469 435582 449410 466695 629174 653373 674115 725970 808938 933390 943761 1088955 1213407 1306746 1348230 1572935 1887522 2022345 2177910 2426814 2831283 3145870 3266865 4044690 4718805 5662566 6067035 6533730 8493849 9437610 12134070 14156415 16987698 28312830 42469245 84938490