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150738616 = 2373122801
BaseRepresentation
bin10001111110000…
…01011010111000
3101111122022111201
420333001122320
5302042113431
622542503544
73510154120
oct1077013270
9344568451
10150738616
11780a7176
1242594bb4
13252ca162
141603bc80
15d378461
hex8fc16b8

150738616 has 48 divisors (see below), whose sum is σ = 333886320. Its totient is φ = 62496000.

The previous prime is 150738589. The next prime is 150738617. The reversal of 150738616 is 616837051.

150738616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150738617) 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, 52416 + ... + 55216.

It is an arithmetic number, because the mean of its divisors is an integer number (6955965).

Almost surely, 2150738616 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 150738616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166943160).

150738616 is an abundant number, since it is smaller than the sum of its proper divisors (183147704).

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

150738616 is a wasteful number, since it uses less digits than its factorization.

150738616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 150738616 is about 12277.5655567380. The cubic root of 150738616 is about 532.1999644020.

The spelling of 150738616 in words is "one hundred fifty million, seven hundred thirty-eight thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 961 1736 1922 2801 3844 5602 6727 7688 11204 13454 19607 22408 26908 39214 53816 78428 86831 156856 173662 347324 607817 694648 1215634 2431268 2691761 4862536 5383522 10767044 18842327 21534088 37684654 75369308 150738616