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19990048 = 2513291657
BaseRepresentation
bin100110001000…
…0011000100000
31101121121012011
41030100120200
520104140143
61552242304
7331625011
oct114203040
941547164
1019990048
1110313901
126840394
1341aba40
142925008
151b4ce9d
hex1310620

19990048 has 48 divisors (see below), whose sum is σ = 43870680. Its totient is φ = 8902656.

The previous prime is 19990043. The next prime is 19990049. The reversal of 19990048 is 84009991.

It can be written as a sum of positive squares in 4 ways, for example, as 12306064 + 7683984 = 3508^2 + 2772^2 .

It is not an unprimeable number, because it can be changed into a prime (19990043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11236 + ... + 12892.

Almost surely, 219990048 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 19990048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935340).

19990048 is an abundant number, since it is smaller than the sum of its proper divisors (23880632).

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

19990048 is a wasteful number, since it uses less digits than its factorization.

19990048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 19990048 is about 4471.0231491237. The cubic root of 19990048 is about 271.3967310494.

The spelling of 19990048 in words is "nineteen million, nine hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 1657 3016 3314 6032 6628 12064 13256 21541 26512 43082 48053 53024 86164 96106 172328 192212 344656 384424 624689 689312 768848 1249378 1537696 2498756 4997512 9995024 19990048