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4026883840 = 28571726437
BaseRepresentation
bin1111000000000101…
…0101111100000000
3101101122021220010221
43300001111330000
531221340240330
61503330032424
7201534643060
oct36001257400
911348256127
104026883840
111787086481
12944718714
134c2375205
142a2b513a0
151887d5b7a
hexf0055f00

4026883840 has 144 divisors (see below), whose sum is σ = 11672482752. Its totient is φ = 1299382272.

The previous prime is 4026883811. The next prime is 4026883843. The reversal of 4026883840 is 483886204.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4026883843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139102 + ... + 165538.

It is an arithmetic number, because the mean of its divisors is an integer number (81058908).

Almost surely, 24026883840 is an apocalyptic number.

4026883840 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 4026883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836241376).

4026883840 is an abundant number, since it is smaller than the sum of its proper divisors (7645598912).

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

4026883840 is a wasteful number, since it uses less digits than its factorization.

4026883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26482 (or 26468 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 4026883840 is about 63457.7327045333. The cubic root of 4026883840 is about 1590.9494006895.

The spelling of 4026883840 in words is "four billion, twenty-six million, eight hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1280 1360 1792 1904 2176 2240 2380 2720 3808 4352 4480 4760 5440 7616 8960 9520 10880 15232 19040 21760 26437 30464 38080 52874 76160 105748 132185 152320 185059 211496 264370 370118 422992 449429 528740 740236 845984 898858 925295 1057480 1480472 1691968 1797716 1850590 2114960 2247145 2960944 3146003 3383936 3595432 3701180 4229920 4494290 5921888 6292006 6767872 7190864 7402360 8459840 8988580 11843776 12584012 14381728 14804720 15730015 16919680 17977160 23687552 25168024 28763456 29609440 31460030 33839360 35954320 47375104 50336048 57526912 59218880 62920060 71908640 100672096 115053824 118437760 125840120 143817280 201344192 236875520 251680240 287634560 402688384 503360480 575269120 805376768 1006720960 2013441920 4026883840