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4026531840 = 22835
BaseRepresentation
bin1111000000000000…
…0000000000000000
3101101121122000021220
43300000000000000
531221243004330
61503314315040
7201531645612
oct36000000000
911347560256
104026531840
111786965a71
12944588a80
134c2280c26
142a2a9cdb2
15188766710
hexf0000000

4026531840 has 116 divisors (see below), whose sum is σ = 12884901864. Its totient is φ = 1073741824.

The previous prime is 4026531833. The next prime is 4026531853. The reversal of 4026531840 is 481356204.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)25.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 4026531840 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 805306366 + ... + 805306370.

Almost surely, 24026531840 is an apocalyptic number.

4026531840 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 4026531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442450932).

4026531840 is an abundant number, since it is smaller than the sum of its proper divisors (8858370024).

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

4026531840 is an frugal number, since it uses more digits than its factorization.

4026531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4026531840 is about 63454.9591442623. The cubic root of 4026531840 is about 1590.9030430484.

The spelling of 4026531840 in words is "four billion, twenty-six million, five hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 32768 40960 49152 61440 65536 81920 98304 122880 131072 163840 196608 245760 262144 327680 393216 491520 524288 655360 786432 983040 1048576 1310720 1572864 1966080 2097152 2621440 3145728 3932160 4194304 5242880 6291456 7864320 8388608 10485760 12582912 15728640 16777216 20971520 25165824 31457280 33554432 41943040 50331648 62914560 67108864 83886080 100663296 125829120 134217728 167772160 201326592 251658240 268435456 335544320 402653184 503316480 671088640 805306368 1006632960 1342177280 2013265920 4026531840