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2045708500 = 225311433859
BaseRepresentation
bin111100111101111…
…0000100011010100
312021120100202111111
41321323300203110
513142200133000
6534554344404
7101460143503
oct17173604324
95246322444
102045708500
1195a827090
1249112b104
13267a8c304
1415599683a
15be8e0cba
hex79ef08d4

2045708500 has 96 divisors (see below), whose sum is σ = 4890936960. Its totient is φ = 741312000.

The previous prime is 2045708477. The next prime is 2045708513. The reversal of 2045708500 is 58075402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2381071 + ... + 2381929.

It is an arithmetic number, because the mean of its divisors is an integer number (50947260).

Almost surely, 22045708500 is an apocalyptic number.

2045708500 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 2045708500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445468480).

2045708500 is an abundant number, since it is smaller than the sum of its proper divisors (2845228460).

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

2045708500 is a wasteful number, since it uses less digits than its factorization.

2045708500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 2045708500 is about 45229.5091726629. The cubic root of 2045708500 is about 1269.4470281595.

The spelling of 2045708500 in words is "two billion, forty-five million, seven hundred eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 433 500 550 859 866 1100 1375 1718 1732 2165 2750 3436 4295 4330 4763 5500 8590 8660 9449 9526 10825 17180 18898 19052 21475 21650 23815 37796 42950 43300 47245 47630 54125 85900 94490 95260 107375 108250 119075 188980 214750 216500 236225 238150 371947 429500 472450 476300 595375 743894 944900 1181125 1190750 1487788 1859735 2362250 2381500 3719470 4091417 4724500 7438940 8182834 9298675 16365668 18597350 20457085 37194700 40914170 46493375 81828340 92986750 102285425 185973500 204570850 409141700 511427125 1022854250 2045708500