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150448896 = 2832135023
BaseRepresentation
bin10001111011110…
…10101100000000
3101111002121002100
420331322230000
5302003331041
622532350400
73504536343
oct1075725400
9344077070
10150448896
1177a19534
1242475400
1325228320
1415da445a
15d31c6b6
hex8f7ab00

150448896 has 108 divisors (see below), whose sum is σ = 467242048. Its totient is φ = 46282752.

The previous prime is 150448891. The next prime is 150448913. The reversal of 150448896 is 698844051.

It is not an unprimeable number, because it can be changed into a prime (150448891) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27441 + ... + 32463.

Almost surely, 2150448896 is an apocalyptic number.

150448896 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 150448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233621024).

150448896 is an abundant number, since it is smaller than the sum of its proper divisors (316793152).

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

150448896 is a wasteful number, since it uses less digits than its factorization.

150448896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 150448896 is about 12265.7611259962. The cubic root of 150448896 is about 531.8587824999.

The spelling of 150448896 in words is "one hundred fifty million, four hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 5023 7488 9984 10046 14976 15069 20092 29952 30138 40184 45207 60276 65299 80368 90414 120552 130598 160736 180828 195897 241104 261196 321472 361656 391794 482208 522392 587691 642944 723312 783588 964416 1044784 1175382 1285888 1446624 1567176 1928832 2089568 2350764 2893248 3134352 3857664 4179136 4701528 5786496 6268704 8358272 9403056 11572992 12537408 16716544 18806112 25074816 37612224 50149632 75224448 150448896