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2048271840 = 25335474137
BaseRepresentation
bin111101000010110…
…0010010111100000
312021202011222202000
41322011202113200
513143324144330
6535125324000
7101521011006
oct17205422740
95252158660
102048271840
11961217a4a
12491b66600
13268478c94
14156062a76
15bec4a560
hex7a1625e0

2048271840 has 96 divisors (see below), whose sum is σ = 7168966560. Its totient is φ = 546204672.

The previous prime is 2048271817. The next prime is 2048271857. The reversal of 2048271840 is 481728402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2048271795 and 2048271804.

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, 232749 + ... + 241388.

It is an arithmetic number, because the mean of its divisors is an integer number (74676735).

Almost surely, 22048271840 is an apocalyptic number.

2048271840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048271840 is an abundant number, since it is smaller than the sum of its proper divisors (5120694720).

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

2048271840 is a wasteful number, since it uses less digits than its factorization.

2048271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474161 (or 474147 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2048271840 is about 45257.8373323339. The cubic root of 2048271840 is about 1269.9770264718.

The spelling of 2048271840 in words is "two billion, forty-eight million, two hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 474137 948274 1422411 1896548 2370685 2844822 3793096 4267233 4741370 5689644 7112055 7586192 8534466 9482740 11379288 12801699 14224110 15172384 17068932 18965480 21336165 22758576 25603398 28448220 34137864 37930960 42672330 45517152 51206796 56896440 64008495 68275728 75861920 85344660 102413592 113792880 128016990 136551456 170689320 204827184 227585760 256033980 341378640 409654368 512067960 682757280 1024135920 2048271840