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1830849500 = 2253194392
BaseRepresentation
bin110110100100000…
…1000101111011100
311201121001210100202
41231020020233130
512222144141000
6501401243032
763240651434
oct15510105734
94647053322
101830849500
1185a515367
12431193478
132324018cc
141352272c4
15aaaeddd5
hex6d208bdc

1830849500 has 72 divisors (see below), whose sum is σ = 4218636240. Its totient is φ = 692215200.

The previous prime is 1830849499. The next prime is 1830849509. The reversal of 1830849500 is 59480381.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830849509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4170281 + ... + 4170719.

It is an arithmetic number, because the mean of its divisors is an integer number (58592170).

Almost surely, 21830849500 is an apocalyptic number.

1830849500 is a gapful number since it is divisible by the number (10) 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 1830849500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109318120).

1830849500 is an abundant number, since it is smaller than the sum of its proper divisors (2387786740).

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

1830849500 is an equidigital number, since it uses as much as digits as its factorization.

1830849500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 1830849500 is about 42788.4271737114. The cubic root of 1830849500 is about 1223.3504383432.

The spelling of 1830849500 in words is "one billion, eight hundred thirty million, eight hundred forty-nine thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 439 475 500 878 950 1756 1900 2195 2375 4390 4750 8341 8780 9500 10975 16682 21950 33364 41705 43900 54875 83410 109750 166820 192721 208525 219500 385442 417050 770884 834100 963605 1042625 1927210 2085250 3661699 3854420 4170500 4818025 7323398 9636050 14646796 18308495 19272100 24090125 36616990 48180250 73233980 91542475 96360500 183084950 366169900 457712375 915424750 1830849500