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2047390600 = 2352191094943
BaseRepresentation
bin111101000001000…
…1011001110001000
312021200112012220111
41322002023032020
513143112444400
6535054404104
7101510350543
oct17202131610
95250465814
102047390600
11960775952
12491800634
1326822ab38
14155cb385a
15beb243ba
hex7a08b388

2047390600 has 96 divisors (see below), whose sum is σ = 5057712000. Its totient is φ = 768579840.

The previous prime is 2047390589. The next prime is 2047390601. The reversal of 2047390600 is 60937402.

It is not an unprimeable number, because it can be changed into a prime (2047390601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411729 + ... + 416671.

It is an arithmetic number, because the mean of its divisors is an integer number (52684500).

Almost surely, 22047390600 is an apocalyptic number.

2047390600 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 2047390600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528856000).

2047390600 is an abundant number, since it is smaller than the sum of its proper divisors (3010321400).

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

2047390600 is a wasteful number, since it uses less digits than its factorization.

2047390600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 2047390600 is about 45248.1005126182. The cubic root of 2047390600 is about 1269.7948704592.

The spelling of 2047390600 in words is "two billion, forty-seven million, three hundred ninety thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 109 152 190 200 218 380 436 475 545 760 872 950 1090 1900 2071 2180 2725 3800 4142 4360 4943 5450 8284 9886 10355 10900 16568 19772 20710 21800 24715 39544 41420 49430 51775 82840 93917 98860 103550 123575 187834 197720 207100 247150 375668 414200 469585 494300 538787 751336 939170 988600 1077574 1878340 2155148 2347925 2693935 3756680 4310296 4695850 5387870 9391700 10236953 10775740 13469675 18783400 20473906 21551480 26939350 40947812 51184765 53878700 81895624 102369530 107757400 204739060 255923825 409478120 511847650 1023695300 2047390600