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8308805440 = 2651311091801
BaseRepresentation
bin1111011110011111…
…00100111101000000
3210110001111001022211
413233033210331000
5114004023233230
63452250311504
7412620452365
oct75717447500
923401431284
108308805440
113584116561
12173a728594
13a25504b30
1458b6d046c
1533969842a
hex1ef3e4f40

8308805440 has 112 divisors (see below), whose sum is σ = 21338346960. Its totient is φ = 3063398400.

The previous prime is 8308805383. The next prime is 8308805443. The reversal of 8308805440 is 445088038.

It can be written as a sum of positive squares in 8 ways, for example, as 4305459456 + 4003345984 = 65616^2 + 63272^2 .

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 = 8308805393 and 8308805402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8308805443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4612540 + ... + 4614340.

It is an arithmetic number, because the mean of its divisors is an integer number (190520955).

Almost surely, 28308805440 is an apocalyptic number.

8308805440 is a gapful number since it is divisible by the number (80) 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 8308805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10669173480).

8308805440 is an abundant number, since it is smaller than the sum of its proper divisors (13029541520).

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

8308805440 is a wasteful number, since it uses less digits than its factorization.

8308805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 8308805440 is about 91152.6491112573. The cubic root of 8308805440 is about 2025.4095957516.

The spelling of 8308805440 in words is "eight billion, three hundred eight million, eight hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1109 1801 2080 2218 3602 4160 4436 5545 7204 8872 9005 11090 14408 14417 17744 18010 22180 23413 28816 28834 35488 36020 44360 46826 57632 57668 70976 72040 72085 88720 93652 115264 115336 117065 144080 144170 177440 187304 230672 234130 288160 288340 354880 374608 461344 468260 576320 576680 749216 922688 936520 1153360 1498432 1873040 1997309 2306720 3746080 3994618 4613440 7492160 7989236 9986545 15978472 19973090 25965017 31956944 39946180 51930034 63913888 79892360 103860068 127827776 129825085 159784720 207720136 259650170 319569440 415440272 519300340 639138880 830880544 1038600680 1661761088 2077201360 4154402720 8308805440