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1429620192 = 2534711131929
BaseRepresentation
bin101010100110110…
…0100010111100000
310200122002020020000
41111031210113200
510411440321232
6353505420000
750266366620
oct12515442740
93618066200
101429620192
11673a8a8a0
1233a93a600
1319a24c910
14d7c22880
158579627c
hex553645e0

1429620192 has 960 divisors, whose sum is σ = 6147187200. Its totient is φ = 313528320.

The previous prime is 1429620191. The next prime is 1429620193. The reversal of 1429620192 is 2910269241.

1429620192 is a `hidden beast` number, since 1 + 4 + 29 + 620 + 1 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1429620191) and next prime (1429620193).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429620191) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49297234 + ... + 49297262.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 21429620192 is an apocalyptic number.

1429620192 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 1429620192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073593600).

1429620192 is an abundant number, since it is smaller than the sum of its proper divisors (4717567008).

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

1429620192 is a wasteful number, since it uses less digits than its factorization.

1429620192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1429620192 is about 37810.3185916226. The cubic root of 1429620192 is about 1126.5234187979.

The spelling of 1429620192 in words is "one billion, four hundred twenty-nine million, six hundred twenty thousand, one hundred ninety-two".