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4398683040 = 253253478803
BaseRepresentation
bin1000001100010111…
…01001001110100000
3102100112220020202200
410012023221032200
533002030324130
62004251013200
7214001121543
oct40613511640
912315806680
104398683040
111957a3a744
12a2913a200
135513c173b
142da29485a
151ab278760
hex1062e93a0

4398683040 has 144 divisors (see below), whose sum is σ = 15055473888. Its totient is φ = 1169468928.

The previous prime is 4398683033. The next prime is 4398683063. The reversal of 4398683040 is 403868934.

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

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495279 + ... + 504081.

It is an arithmetic number, because the mean of its divisors is an integer number (104551902).

Almost surely, 24398683040 is an apocalyptic number.

4398683040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4398683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527736944).

4398683040 is an abundant number, since it is smaller than the sum of its proper divisors (10656790848).

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

4398683040 is a wasteful number, since it uses less digits than its factorization.

4398683040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9171 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4398683040 is about 66322.5681046806. The cubic root of 4398683040 is about 1638.4790380178.

The spelling of 4398683040 in words is "four billion, three hundred ninety-eight million, six hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 347 360 480 694 720 1041 1388 1440 1735 2082 2776 3123 3470 4164 5205 5552 6246 6940 8328 8803 10410 11104 12492 13880 15615 16656 17606 20820 24984 26409 27760 31230 33312 35212 41640 44015 49968 52818 55520 62460 70424 79227 83280 88030 99936 105636 124920 132045 140848 158454 166560 176060 211272 249840 264090 281696 316908 352120 396135 422544 499680 528180 633816 704240 792270 845088 1056360 1267632 1408480 1584540 2112720 2535264 3054641 3169080 4225440 6109282 6338160 9163923 12218564 12676320 15273205 18327846 24437128 27491769 30546410 36655692 45819615 48874256 54983538 61092820 73311384 91639230 97748512 109967076 122185640 137458845 146622768 183278460 219934152 244371280 274917690 293245536 366556920 439868304 488742560 549835380 733113840 879736608 1099670760 1466227680 2199341520 4398683040