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4426964640 = 253257439183
BaseRepresentation
bin1000001111101111…
…00001111010100000
3102102112010002211100
410013313201322200
533031300332030
62011141114400
7214463402310
oct40767417240
912375102740
104426964640
1119719a706a
12a366b8a00
13557214507
142ddd37440
151ad9b3360
hex107de1ea0

4426964640 has 144 divisors (see below), whose sum is σ = 17265201408. Its totient is φ = 1011875328.

The previous prime is 4426964599. The next prime is 4426964653. The reversal of 4426964640 is 464696244.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 209512 + ... + 229671.

It is an arithmetic number, because the mean of its divisors is an integer number (119897232).

Almost surely, 24426964640 is an apocalyptic number.

4426964640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4426964640 is an abundant number, since it is smaller than the sum of its proper divisors (12838236768).

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

4426964640 is a wasteful number, since it uses less digits than its factorization.

4426964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439211 (or 439200 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4426964640 is about 66535.4389780364. The cubic root of 4426964640 is about 1641.9831057005.

The spelling of 4426964640 in words is "four billion, four hundred twenty-six million, nine hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 439183 878366 1317549 1756732 2195915 2635098 3074281 3513464 3952647 4391830 5270196 6148562 6587745 7026928 7905294 8783660 9222843 10540392 12297124 13175490 14053856 15371405 15810588 17567320 18445686 19763235 21080784 24594248 26350980 27668529 30742810 31621176 35134640 36891372 39526470 42161568 46114215 49188496 52701960 55337058 61485620 63242352 70269280 73782744 79052940 92228430 98376992 105403920 110674116 122971240 126484704 138342645 147565488 158105880 184456860 210807840 221348232 245942480 276685290 295130976 316211760 368913720 442696464 491884960 553370580 632423520 737827440 885392928 1106741160 1475654880 2213482320 4426964640