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416396890 = 257133783149
BaseRepresentation
bin11000110100011…
…011011001011010
31002000112011011001
4120310123121122
51323044200030
6105152455214
713214213050
oct3064333132
91060464131
10416396890
111a4055168
12b754a50a
13683629c0
143d4321d0
1526851cca
hex18d1b65a

416396890 has 128 divisors (see below), whose sum is σ = 965260800. Its totient is φ = 125826048.

The previous prime is 416396887. The next prime is 416396909. The reversal of 416396890 is 98693614.

It is a self number, because there is not a number n which added to its sum of digits gives 416396890.

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, 2794536 + ... + 2794684.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2416396890 is an apocalyptic number.

416396890 is an abundant number, since it is smaller than the sum of its proper divisors (548863910).

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

416396890 is a wasteful number, since it uses less digits than its factorization.

416396890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296.

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 416396890 is about 20405.8053014332. The cubic root of 416396890 is about 746.7395591660.

The spelling of 416396890 in words is "four hundred sixteen million, three hundred ninety-six thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 37 65 70 74 83 91 130 149 166 182 185 259 298 370 415 455 481 518 581 745 830 910 962 1043 1079 1162 1295 1490 1937 2086 2158 2405 2590 2905 3071 3367 3874 4810 5215 5395 5513 5810 6142 6734 7553 9685 10430 10790 11026 12367 13559 15106 15355 16835 19370 21497 24734 27118 27565 30710 33670 37765 38591 39923 42994 55130 61835 67795 71669 75530 77182 79846 86569 107485 123670 135590 143338 160771 173138 192955 199615 214970 279461 321542 358345 385910 399230 432845 457579 501683 558922 716690 803855 865690 915158 1003366 1125397 1397305 1607710 2250794 2287895 2508415 2794610 3203053 4575790 5016830 5626985 5948527 6406106 11253970 11897054 16015265 29742635 32030530 41639689 59485270 83279378 208198445 416396890