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423052896 = 25371793517
BaseRepresentation
bin11001001101110…
…100011001100000
31002111001022110210
4121031310121200
51331300143041
6105551254120
713324614240
oct3115643140
91074038423
10423052896
111a78909a2
12b981a340
1369853476
1440285b20
1527219016
hex19374660

423052896 has 96 divisors (see below), whose sum is σ = 1276611840. Its totient is φ = 120162816.

The previous prime is 423052891. The next prime is 423052907. The reversal of 423052896 is 698250324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423052891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118530 + ... + 122046.

It is an arithmetic number, because the mean of its divisors is an integer number (13298040).

Almost surely, 2423052896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423052896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638305920).

423052896 is an abundant number, since it is smaller than the sum of its proper divisors (853558944).

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

423052896 is a wasteful number, since it uses less digits than its factorization.

423052896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 423052896 is about 20568.2497067689. The cubic root of 423052896 is about 750.6973638217.

The spelling of 423052896 in words is "four hundred twenty-three million, fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 179 224 336 358 537 672 716 1074 1253 1432 2148 2506 2864 3517 3759 4296 5012 5728 7034 7518 8592 10024 10551 14068 15036 17184 20048 21102 24619 28136 30072 40096 42204 49238 56272 60144 73857 84408 98476 112544 120288 147714 168816 196952 295428 337632 393904 590856 629543 787808 1181712 1259086 1888629 2363424 2518172 3777258 4406801 5036344 7554516 8813602 10072688 13220403 15109032 17627204 20145376 26440806 30218064 35254408 52881612 60436128 70508816 105763224 141017632 211526448 423052896