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151452468 = 22328574909
BaseRepresentation
bin10010000011011…
…11101100110100
3101112222120201200
421001233230310
5302232434333
623010052500
73516216246
oct1101575464
9345876650
10151452468
1178544532
124287a130
13254ba05b
1416186096
15d469c13
hex906fb34

151452468 has 36 divisors (see below), whose sum is σ = 383362980. Its totient is φ = 50414976.

The previous prime is 151452463. The next prime is 151452479. The reversal of 151452468 is 864254151.

It is a happy number.

151452468 is a `hidden beast` number, since 151 + 45 + 2 + 468 = 666.

151452468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 146603664 + 4848804 = 12108^2 + 2202^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151452461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28398 + ... + 33306.

Almost surely, 2151452468 is an apocalyptic number.

151452468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

151452468 is an abundant number, since it is smaller than the sum of its proper divisors (231910512).

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

151452468 is a wasteful number, since it uses less digits than its factorization.

151452468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776 (or 5771 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 151452468 is about 12306.6026181071. The cubic root of 151452468 is about 533.0387538160.

The spelling of 151452468 in words is "one hundred fifty-one million, four hundred fifty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 857 1714 2571 3428 4909 5142 7713 9818 10284 14727 15426 19636 29454 30852 44181 58908 88362 176724 4207013 8414026 12621039 16828052 25242078 37863117 50484156 75726234 151452468