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150976448 = 2672311553
BaseRepresentation
bin10001111111110…
…11011111000000
3101112002101202022
420333323133000
5302122221243
622551541012
73512164400
oct1077733700
9345071668
10150976448
1178249927
124268a768
132538149c
14160a0800
15d3c3b68
hex8ffb7c0

150976448 has 84 divisors (see below), whose sum is σ = 359980992. Its totient is φ = 62576640.

The previous prime is 150976447. The next prime is 150976471. The reversal of 150976448 is 844679051.

150976448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 150976399 and 150976408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150976447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96440 + ... + 97992.

It is an arithmetic number, because the mean of its divisors is an integer number (4285488).

Almost surely, 2150976448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179990496).

150976448 is an abundant number, since it is smaller than the sum of its proper divisors (209004544).

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

150976448 is a wasteful number, since it uses less digits than its factorization.

150976448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 150976448 is about 12287.2473727845. The cubic root of 150976448 is about 532.4797150391.

The spelling of 150976448 in words is "one hundred fifty million, nine hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 248 392 434 448 496 784 868 992 1519 1553 1568 1736 1984 3038 3106 3136 3472 6076 6212 6944 10871 12152 12424 13888 21742 24304 24848 43484 48143 48608 49696 76097 86968 96286 97216 99392 152194 173936 192572 304388 337001 347872 385144 608776 674002 695744 770288 1217552 1348004 1540576 2359007 2435104 2696008 3081152 4718014 4870208 5392016 9436028 10784032 18872056 21568064 37744112 75488224 150976448