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1472003904 = 26372473329
BaseRepresentation
bin101011110111100…
…1111111101000000
310210120211112202010
41113233033331000
511003313111104
6402022052520
751322553400
oct12757177500
93716745663
101472003904
116959a9358
12350b7a140
131a5c6c437
14dd6d6800
1589369489
hex57bcff40

1472003904 has 168 divisors, whose sum is σ = 4628327040. Its totient is φ = 411500544.

The previous prime is 1472003881. The next prime is 1472003917. The reversal of 1472003904 is 4093002741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440512 + ... + 443840.

Almost surely, 21472003904 is an apocalyptic number.

1472003904 is a gapful number since it is divisible by the number (14) 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 1472003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314163520).

1472003904 is an abundant number, since it is smaller than the sum of its proper divisors (3156323136).

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

1472003904 is a wasteful number, since it uses less digits than its factorization.

1472003904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1472003904 is about 38366.7030639851. The cubic root of 1472003904 is about 1137.5477975970.

The spelling of 1472003904 in words is "one billion, four hundred seventy-two million, three thousand, nine hundred four".