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155376468 = 22341337997
BaseRepresentation
bin10010100001011…
…01101101010100
3101211100221110000
421100231231110
5304234021333
623230131300
73564451422
oct1120555524
9354327400
10155376468
117a784705
1244050b30
1326262150
14168c8112
15d992713
hex942db54

155376468 has 120 divisors (see below), whose sum is σ = 449702792. Its totient is φ = 46469376.

The previous prime is 155376457. The next prime is 155376479. The reversal of 155376468 is 864673551.

155376468 is a `hidden beast` number, since 155 + 37 + 6 + 468 = 666.

It is an interprime number because it is at equal distance from previous prime (155376457) and next prime (155376479).

It can be written as a sum of positive squares in 4 ways, for example, as 53406864 + 101969604 = 7308^2 + 10098^2 .

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 155346 + ... + 156342.

Almost surely, 2155376468 is an apocalyptic number.

155376468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155376468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224851396).

155376468 is an abundant number, since it is smaller than the sum of its proper divisors (294326324).

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

155376468 is a wasteful number, since it uses less digits than its factorization.

155376468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1052 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 155376468 is about 12465.0097472886. The cubic root of 155376468 is about 537.6030801402.

The spelling of 155376468 in words is "one hundred fifty-five million, three hundred seventy-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 81 108 111 117 148 156 162 222 234 324 333 351 444 468 481 666 702 962 997 999 1053 1332 1404 1443 1924 1994 1998 2106 2886 2991 2997 3988 3996 4212 4329 5772 5982 5994 8658 8973 11964 11988 12961 12987 17316 17946 25922 25974 26919 35892 36889 38883 38961 51844 51948 53838 73778 77766 77922 80757 107676 110667 116649 147556 155532 155844 161514 221334 233298 323028 332001 349947 442668 466596 479557 664002 699894 959114 996003 1049841 1328004 1399788 1438671 1918228 1992006 2099682 2877342 2988009 3984012 4199364 4316013 5754684 5976018 8632026 11952036 12948039 17264052 25896078 38844117 51792156 77688234 155376468