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4463363840 = 28513347773
BaseRepresentation
bin1000010100000100…
…11000011100000000
3102112001121101010212
410022002120130000
533120110120330
62014521213252
7215414652365
oct41202303400
912461541125
104463363840
1119904a8351
12a46931228
1356191a0c0
14304ad046c
151b1ca3295
hex10a098700

4463363840 has 144 divisors (see below), whose sum is σ = 11561665248. Its totient is φ = 1641136128.

The previous prime is 4463363803. The next prime is 4463363869. The reversal of 4463363840 is 483633644.

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, 5773694 + ... + 5774466.

It is an arithmetic number, because the mean of its divisors is an integer number (80289342).

Almost surely, 24463363840 is an apocalyptic number.

4463363840 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 4463363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780832624).

4463363840 is an abundant number, since it is smaller than the sum of its proper divisors (7098301408).

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

4463363840 is a wasteful number, since it uses less digits than its factorization.

4463363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 41.

The square root of 4463363840 is about 66808.4114464638. The cubic root of 4463363840 is about 1646.4710424141.

The spelling of 4463363840 in words is "four billion, four hundred sixty-three million, three hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 347 416 520 640 694 773 832 1040 1280 1388 1546 1664 1735 2080 2776 3092 3328 3470 3865 4160 4511 5552 6184 6940 7730 8320 9022 10049 11104 12368 13880 15460 16640 18044 20098 22208 22555 24736 27760 30920 36088 40196 44416 45110 49472 50245 55520 61840 72176 80392 88832 90220 98944 100490 111040 123680 144352 160784 180440 197888 200980 222080 247360 268231 288704 321568 360880 401960 444160 494720 536462 577408 643136 721760 803920 989440 1072924 1154816 1286272 1341155 1443520 1607840 2145848 2572544 2682310 2887040 3215680 3487003 4291696 5364620 5774080 6431360 6974006 8583392 10729240 12862720 13948012 17166784 17435015 21458480 27896024 34333568 34870030 42916960 55792048 68667136 69740060 85833920 111584096 139480120 171667840 223168192 278960240 343335680 446336384 557920480 892672768 1115840960 2231681920 4463363840