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19049472 = 210331353
BaseRepresentation
bin100100010101…
…0110000000000
31022211210222000
41020222300000
514334040342
61520144000
7320626551
oct110526000
938753860
1019049472
11a831172
126468000
133c3c8a0
14275c328
151a1444c
hex122ac00

19049472 has 176 divisors, whose sum is σ = 61901280. Its totient is φ = 5750784.

The previous prime is 19049453. The next prime is 19049477. The reversal of 19049472 is 27494091.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19049477) 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 15 ways as a sum of consecutive naturals, for example, 359398 + ... + 359450.

Almost surely, 219049472 is an apocalyptic number.

19049472 is a gapful number since it is divisible by the number (12) 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 19049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30950640).

19049472 is an abundant number, since it is smaller than the sum of its proper divisors (42851808).

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

19049472 is a wasteful number, since it uses less digits than its factorization.

19049472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 19049472 is about 4364.5700819210. The cubic root of 19049472 is about 267.0715626887.

The spelling of 19049472 in words is "nineteen million, forty-nine thousand, four hundred seventy-two".