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2026868480 = 28571317401
BaseRepresentation
bin111100011001111…
…1000111100000000
312020020220120211222
41320303320330000
513122334242410
6533042454212
7101141045360
oct17063707400
95206816758
102026868480
1195012931a
12486964368
13263bc3b80
141532909a0
15bce1d955
hex78cf8f00

2026868480 has 144 divisors (see below), whose sum is σ = 5975707584. Its totient is φ = 641433600.

The previous prime is 2026868449. The next prime is 2026868489. The reversal of 2026868480 is 848686202.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026868489) 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, 107780 + ... + 125180.

Almost surely, 22026868480 is an apocalyptic number.

2026868480 is a gapful number since it is divisible by the number (20) 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 2026868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987853792).

2026868480 is an abundant number, since it is smaller than the sum of its proper divisors (3948839104).

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

2026868480 is a wasteful number, since it uses less digits than its factorization.

2026868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17442 (or 17428 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 2026868480 is about 45020.7561020470. The cubic root of 2026868480 is about 1265.5379985960.

The spelling of 2026868480 in words is "two billion, twenty-six million, eight hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1280 1456 1664 1792 1820 2080 2240 2912 3328 3640 4160 4480 5824 7280 8320 8960 11648 14560 16640 17401 23296 29120 34802 58240 69604 87005 116480 121807 139208 174010 226213 243614 278416 348020 452426 487228 556832 609035 696040 904852 974456 1113664 1131065 1218070 1392080 1583491 1809704 1948912 2227328 2262130 2436140 2784160 3166982 3619408 3897824 4454656 4524260 4872280 5568320 6333964 7238816 7795648 7917455 9048520 9744560 11136640 12667928 14477632 15591296 15834910 18097040 19489120 22273280 25335856 28955264 31182592 31669820 36194080 38978240 50671712 57910528 63339640 72388160 77956480 101343424 126679280 144776320 155912960 202686848 253358560 289552640 405373696 506717120 1013434240 2026868480