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4270483840 = 27579411013
BaseRepresentation
bin1111111010001010…
…0110100110000000
3102000121200001112011
43332202212212000
532221220440330
61543431142304
7210553341130
oct37642464600
912017601464
104270483840
1118a1638797
129b2214994
1353098681c
142c7242ac0
1519eda382a
hexfe8a6980

4270483840 has 128 divisors (see below), whose sum is σ = 11691501120. Its totient is φ = 1461166080.

The previous prime is 4270483813. The next prime is 4270483901. The reversal of 4270483840 is 483840724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42704838402 = 36474064455402291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4270483793 and 4270483802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4215174 + ... + 4216186.

Almost surely, 24270483840 is an apocalyptic number.

4270483840 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 4270483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845750560).

4270483840 is an abundant number, since it is smaller than the sum of its proper divisors (7421017280).

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

4270483840 is a wasteful number, since it uses less digits than its factorization.

4270483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 4270483840 is about 65348.9390885575. The cubic root of 4270483840 is about 1622.4040717167.

The spelling of 4270483840 in words is "four billion, two hundred seventy million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 941 1013 1120 1882 2026 2240 3764 4052 4480 4705 5065 6587 7091 7528 8104 9410 10130 13174 14182 15056 16208 18820 20260 26348 28364 30112 32416 32935 35455 37640 40520 52696 56728 60224 64832 65870 70910 75280 81040 105392 113456 120448 129664 131740 141820 150560 162080 210784 226912 263480 283640 301120 324160 421568 453824 526960 567280 602240 648320 843136 907648 953233 1053920 1134560 1906466 2107840 2269120 3812932 4215680 4538240 4766165 6672631 7625864 9532330 13345262 15251728 19064660 26690524 30503456 33363155 38129320 53381048 61006912 66726310 76258640 106762096 122013824 133452620 152517280 213524192 266905240 305034560 427048384 533810480 610069120 854096768 1067620960 2135241920 4270483840