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429916914 = 232719179581
BaseRepresentation
bin11001101000000…
…000001011110010
31002221222001010200
4121220000023302
51340024320124
6110354340030
713440143040
oct3150001362
91087861120
10429916914
11200749a39
12bbb8a616
136b0b780b
1441151390
1527b22bc9
hex19a002f2

429916914 has 48 divisors (see below), whose sum is σ = 1120591680. Its totient is φ = 116367840.

The previous prime is 429916891. The next prime is 429916919. The reversal of 429916914 is 419619924.

It is a self number, because there is not a number n which added to its sum of digits gives 429916914.

It is not an unprimeable number, because it can be changed into a prime (429916919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87397 + ... + 92184.

It is an arithmetic number, because the mean of its divisors is an integer number (23345660).

Almost surely, 2429916914 is an apocalyptic number.

429916914 is an abundant number, since it is smaller than the sum of its proper divisors (690674766).

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

429916914 is a wasteful number, since it uses less digits than its factorization.

429916914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179615 (or 179612 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 429916914 is about 20734.4378751873. The cubic root of 429916914 is about 754.7356143418.

The spelling of 429916914 in words is "four hundred twenty-nine million, nine hundred sixteen thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 179581 359162 538743 1077486 1257067 1616229 2514134 3232458 3412039 3771201 6824078 7542402 10236117 11313603 20472234 22627206 23884273 30708351 47768546 61416702 71652819 143305638 214958457 429916914