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4578640830 = 234547127947
BaseRepresentation
bin1000100001110100…
…01000001110111110
3102211002112001110000
410100322020032332
533334113001310
62034200055130
7221314543041
oct42072101676
912732461400
104578640830
111a3a583695
12a794644a6
1357c77c33a
1431613ac58
151bbe744c0
hex110e883be

4578640830 has 160 divisors (see below), whose sum is σ = 12685787136. Its totient is φ = 1184331456.

The previous prime is 4578640819. The next prime is 4578640853. The reversal of 4578640830 is 380468754.

4578640830 is a `hidden beast` number, since 4 + 578 + 6 + 40 + 8 + 30 = 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 79 ways as a sum of consecutive naturals, for example, 4834417 + ... + 4835363.

Almost surely, 24578640830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4578640830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342893568).

4578640830 is an abundant number, since it is smaller than the sum of its proper divisors (8107146306).

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

4578640830 is a wasteful number, since it uses less digits than its factorization.

4578640830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4578640830 is about 67665.6547297076. The cubic root of 4578640830 is about 1660.5254094814.

The spelling of 4578640830 in words is "four billion, five hundred seventy-eight million, six hundred forty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 127 135 141 162 235 254 270 282 381 405 423 470 635 705 762 810 846 947 1143 1269 1270 1410 1894 1905 2115 2286 2538 2841 3429 3807 3810 4230 4735 5682 5715 5969 6345 6858 7614 8523 9470 10287 11430 11938 12690 14205 17046 17145 17907 19035 20574 25569 28410 29845 34290 35814 38070 42615 44509 51138 51435 53721 59690 76707 85230 89018 89535 102870 107442 120269 127845 133527 153414 161163 179070 222545 240538 255690 267054 268605 322326 360807 383535 400581 445090 483489 537210 601345 667635 721614 767070 801162 805815 966978 1082421 1201743 1202690 1335270 1611630 1804035 2002905 2164842 2403486 2417445 3247263 3605229 3608070 4005810 4834890 5412105 5652643 6008715 6494526 7210458 9741789 10824210 11305286 12017430 16236315 16957929 18026145 19483578 28263215 32472630 33915858 36052290 48708945 50873787 56526430 84789645 97417890 101747574 152621361 169579290 254368935 305242722 457864083 508737870 763106805 915728166 1526213610 2289320415 4578640830