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423972045 = 325743113277
BaseRepresentation
bin11001010001010…
…100110011001101
31002112210000022100
4121101110303031
51332014101140
6110023105313
713335463050
oct3121246315
91075700270
10423972045
111a8359522
12b9ba2239
1369ab5943
1440444a97
152734b530
hex19454ccd

423972045 has 96 divisors (see below), whose sum is σ = 870135552. Its totient is φ = 186955776.

The previous prime is 423972037. The next prime is 423972049. The reversal of 423972045 is 540279324.

It is not a de Polignac number, because 423972045 - 23 = 423972037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423972049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1530447 + ... + 1530723.

It is an arithmetic number, because the mean of its divisors is an integer number (9063912).

Almost surely, 2423972045 is an apocalyptic number.

423972045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

423972045 is an abundant number, since it is smaller than the sum of its proper divisors (446163507).

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

423972045 is a wasteful number, since it uses less digits than its factorization.

423972045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 423972045 is about 20590.5814633779. The cubic root of 423972045 is about 751.2406399517.

The spelling of 423972045 in words is "four hundred twenty-three million, nine hundred seventy-two thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 113 129 215 277 301 315 339 387 565 645 791 831 903 1017 1385 1505 1695 1935 1939 2373 2493 2709 3955 4155 4515 4859 5085 5817 7119 9695 11865 11911 12465 13545 14577 17451 24295 29085 31301 34013 35595 35733 43731 59555 72885 83377 87255 93903 102039 107199 156505 170065 178665 218655 219107 250131 281709 306117 416885 469515 510195 535995 657321 750393 1095535 1250655 1345943 1408545 1530585 1971963 3286605 3751965 4037829 6729715 9421601 9859815 12113487 20189145 28264803 47108005 60567435 84794409 141324015 423972045