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419982040 = 23571147881
BaseRepresentation
bin11001000010000…
…110101011011000
31002021021022001101
4121002012223120
51330003411130
6105401401144
713256534302
oct3102065330
91067238041
10419982040
111a60837a5
12b87991b4
13690197aa
143dac6972
1526d0e1ca
hex19086ad8

419982040 has 32 divisors (see below), whose sum is σ = 958275360. Its totient is φ = 165625600.

The previous prime is 419982037. The next prime is 419982041. The reversal of 419982040 is 40289914.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419982041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71101 + ... + 76780.

It is an arithmetic number, because the mean of its divisors is an integer number (29946105).

Almost surely, 2419982040 is an apocalyptic number.

419982040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

419982040 is an abundant number, since it is smaller than the sum of its proper divisors (538293320).

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

419982040 is a wasteful number, since it uses less digits than its factorization.

419982040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147963 (or 147959 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 419982040 is about 20493.4633481020. The cubic root of 419982040 is about 748.8765639548.

The spelling of 419982040 in words is "four hundred nineteen million, nine hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 147881 295762 591524 739405 1183048 1478810 2957620 5915240 10499551 20999102 41998204 52497755 83996408 104995510 209991020 419982040