Search a number
-
+
151995844 = 2272112131729
BaseRepresentation
bin10010000111101…
…00010111000100
3101121000012002201
421003310113010
5302402331334
623025444244
73523641400
oct1103642704
9347005081
10151995844
1178885800
1242aa0684
132564a490
1416288100
15d525c14
hex90f45c4

151995844 has 216 divisors, whose sum is σ = 401186520. Its totient is φ = 49674240.

The previous prime is 151995803. The next prime is 151995863. The reversal of 151995844 is 448599151.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18593344 + 133402500 = 4312^2 + 11550^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151995794 and 151995803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241222 + ... + 5241250.

It is an arithmetic number, because the mean of its divisors is an integer number (1857345).

Almost surely, 2151995844 is an apocalyptic number.

151995844 is a gapful number since it is divisible by the number (14) 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 151995844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200593260).

151995844 is an abundant number, since it is smaller than the sum of its proper divisors (249190676).

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

151995844 is a wasteful number, since it uses less digits than its factorization.

151995844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its digits is 259200, while the sum is 46.

The square root of 151995844 is about 12328.6594567293. The cubic root of 151995844 is about 533.6754657188.

The spelling of 151995844 in words is "one hundred fifty-one million, nine hundred ninety-five thousand, eight hundred forty-four".