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150256752 = 24331241419
BaseRepresentation
bin10001111010010…
…11110001110000
3101110201211111220
420331023301300
5301431204002
622524305040
73503106222
oct1075136160
9343654456
10150256752
11778a8138
12423a2180
132518ba29
1415d54412
15d2d07bc
hex8f4bc70

150256752 has 80 divisors (see below), whose sum is σ = 403307520. Its totient is φ = 48153600.

The previous prime is 150256751. The next prime is 150256753. The reversal of 150256752 is 257652051.

150256752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150256751) and next prime (150256753).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150256751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358399 + ... + 358817.

It is an arithmetic number, because the mean of its divisors is an integer number (5041344).

Almost surely, 2150256752 is an apocalyptic number.

150256752 is a gapful number since it is divisible by the number (12) 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 150256752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201653760).

150256752 is an abundant number, since it is smaller than the sum of its proper divisors (253050768).

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

150256752 is a wasteful number, since it uses less digits than its factorization.

150256752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 150256752 is about 12257.9260888619. The cubic root of 150256752 is about 531.6322670240.

The spelling of 150256752 in words is "one hundred fifty million, two hundred fifty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 241 248 372 419 482 496 723 744 838 964 1257 1446 1488 1676 1928 2514 2892 3352 3856 5028 5784 6704 7471 10056 11568 12989 14942 20112 22413 25978 29884 38967 44826 51956 59768 77934 89652 100979 103912 119536 155868 179304 201958 207824 302937 311736 358608 403916 605874 623472 807832 1211748 1615664 2423496 3130349 4846992 6260698 9391047 12521396 18782094 25042792 37564188 50085584 75128376 150256752