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468423153 = 321179101593
BaseRepresentation
bin11011111010111…
…001000111110001
31012122102100202200
4123322321013301
51424404020103
6114251533413
714415350112
oct3372710761
91178370680
10468423153
1122045a280
12110a5a269
137607a483
14462d6209
152b1cc0a3
hex1beb91f1

468423153 has 48 divisors (see below), whose sum is σ = 756138240. Its totient is φ = 277056000.

The previous prime is 468423149. The next prime is 468423157. The reversal of 468423153 is 351324864.

468423153 is a `hidden beast` number, since 468 + 42 + 3 + 153 = 666.

It is an interprime number because it is at equal distance from previous prime (468423149) and next prime (468423157).

It is not a de Polignac number, because 468423153 - 22 = 468423149 is a prime.

It is a super-2 number, since 2×4684231532 = 438840500532922818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (468423157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789625 + ... + 790217.

It is an arithmetic number, because the mean of its divisors is an integer number (15752880).

Almost surely, 2468423153 is an apocalyptic number.

It is an amenable number.

468423153 is a deficient number, since it is larger than the sum of its proper divisors (287715087).

468423153 is a wasteful number, since it uses less digits than its factorization.

468423153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 787 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 468423153 is about 21643.0855702231. The cubic root of 468423153 is about 776.6275352418.

The spelling of 468423153 in words is "four hundred sixty-eight million, four hundred twenty-three thousand, one hundred fifty-three".

Divisors: 1 3 9 11 33 79 99 101 237 303 593 711 869 909 1111 1779 2607 3333 5337 6523 7821 7979 9999 19569 23937 46847 58707 59893 71811 87769 140541 179679 263307 421623 515317 539037 658823 789921 1545951 1976469 4637853 4731547 5929407 14194641 42583923 52047017 156141051 468423153