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1921049424 = 2432723414347
BaseRepresentation
bin111001010000000…
…1110001101010000
311221212210102101200
41302200032031100
512413242040144
6514342431200
765414436120
oct16240161520
94855712350
101921049424
118a6422958
12457432500
13247cc3848
141431c6c80
15b39b9c69
hex7280e350

1921049424 has 480 divisors, whose sum is σ = 6863560704. Its totient is φ = 489646080.

The previous prime is 1921049413. The next prime is 1921049477. The reversal of 1921049424 is 4249401291.

1921049424 is a `hidden beast` number, since 19 + 210 + 4 + 9 + 424 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40873369 + ... + 40873415.

Almost surely, 21921049424 is an apocalyptic number.

1921049424 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 1921049424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431780352).

1921049424 is an abundant number, since it is smaller than the sum of its proper divisors (4942511280).

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

1921049424 is a wasteful number, since it uses less digits than its factorization.

1921049424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1921049424 is about 43829.7778228455. Note that the first 3 decimals coincide. The cubic root of 1921049424 is about 1243.1194058853.

The spelling of 1921049424 in words is "one billion, nine hundred twenty-one million, forty-nine thousand, four hundred twenty-four".