Search a number
-
+
153849696 = 253711131601
BaseRepresentation
bin10010010101110…
…00111101100000
3101201111101002220
421022320331200
5303341142241
623133311040
73545462250
oct1112707540
9351441086
10153849696
1179931610
1243635480
1325b49230
141660b960
15d790166
hex92b8f60

153849696 has 192 divisors, whose sum is σ = 542578176. Its totient is φ = 36864000.

The previous prime is 153849649. The next prime is 153849719. The reversal of 153849696 is 696948351.

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 31 ways as a sum of consecutive naturals, for example, 95296 + ... + 96896.

It is an arithmetic number, because the mean of its divisors is an integer number (2825928).

Almost surely, 2153849696 is an apocalyptic number.

153849696 is a gapful number since it is divisible by the number (16) 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 153849696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271289088).

153849696 is an abundant number, since it is smaller than the sum of its proper divisors (388728480).

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

153849696 is a wasteful number, since it uses less digits than its factorization.

153849696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1637 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 153849696 is about 12403.6162468854. The cubic root of 153849696 is about 535.8364021398.

The spelling of 153849696 in words is "one hundred fifty-three million, eight hundred forty-nine thousand, six hundred ninety-six".