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1680049448 = 237117337361
BaseRepresentation
bin110010000100011…
…1000010100101000
311100002022100120122
41210020320110220
511420043040243
6434413142412
756430120230
oct14410702450
94302270518
101680049448
11792387020
123aa78aa08
1320a0b27cc
1411d1b0cc0
159c762668
hex64238528

1680049448 has 64 divisors (see below), whose sum is σ = 3981294720. Its totient is φ = 645580800.

The previous prime is 1680049411. The next prime is 1680049457. The reversal of 1680049448 is 8449400861.

It is a super-2 number, since 2×16800494482 = 5645132295450209408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1680049399 and 1680049408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26288 + ... + 63648.

It is an arithmetic number, because the mean of its divisors is an integer number (62207730).

Almost surely, 21680049448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680049448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990647360).

1680049448 is an abundant number, since it is smaller than the sum of its proper divisors (2301245272).

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

1680049448 is a wasteful number, since it uses less digits than its factorization.

1680049448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37458 (or 37454 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 1680049448 is about 40988.4062632350. The cubic root of 1680049448 is about 1188.7960537339.

The spelling of 1680049448 in words is "one billion, six hundred eighty million, forty-nine thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 73 77 88 146 154 292 308 511 584 616 803 1022 1606 2044 3212 4088 5621 6424 11242 22484 37361 44968 74722 149444 261527 298888 410971 523054 821942 1046108 1643884 2092216 2727353 2876797 3287768 5454706 5753594 10909412 11507188 19091471 21818824 23014376 30000883 38182942 60001766 76365884 120003532 152731768 210006181 240007064 420012362 840024724 1680049448