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468593419 = 72371311973
BaseRepresentation
bin11011111011100…
…010101100001011
31012122202000022211
4123323202230023
51424424442134
6114255325551
714416656400
oct3373425413
91178660284
10468593419
11220566198
12110b208b7
1376109b18
144633c2a7
152b212764
hex1bee2b0b

468593419 has 24 divisors (see below), whose sum is σ = 564390288. Its totient is φ = 387616320.

The previous prime is 468593413. The next prime is 468593443. The reversal of 468593419 is 914395864.

It is a happy number.

It is not a de Polignac number, because 468593419 - 211 = 468591371 is a prime.

It is a super-2 number, since 2×4685934192 = 439159584660219122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (468593413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236517 + ... + 238489.

It is an arithmetic number, because the mean of its divisors is an integer number (23516262).

Almost surely, 2468593419 is an apocalyptic number.

468593419 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

468593419 is a deficient number, since it is larger than the sum of its proper divisors (95796869).

468593419 is a wasteful number, since it uses less digits than its factorization.

468593419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2148 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 468593419 is about 21647.0187092819. The cubic root of 468593419 is about 776.7216219984.

The spelling of 468593419 in words is "four hundred sixty-eight million, five hundred ninety-three thousand, four hundred nineteen".

Divisors: 1 7 37 49 131 259 917 1813 1973 4847 6419 13811 33929 73001 96677 237503 258463 511007 1809241 3577049 9563131 12664687 66941917 468593419