Search a number
-
+
158431872 = 2732941347
BaseRepresentation
bin10010111000101…
…11101010000000
3102001010011200010
421130113222000
5311024304442
623415424520
73632435334
oct1134275200
9361104603
10158431872
1181481235
1245085140
1326a91a91
14170817c4
15dd97b9c
hex9717a80

158431872 has 128 divisors (see below), whose sum is σ = 447249600. Its totient is φ = 49602560.

The previous prime is 158431841. The next prime is 158431873. The reversal of 158431872 is 278134851.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 158431872.

It is not an unprimeable number, because it can be changed into a prime (158431873) 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, 456403 + ... + 456749.

Almost surely, 2158431872 is an apocalyptic number.

158431872 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 158431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223624800).

158431872 is an abundant number, since it is smaller than the sum of its proper divisors (288817728).

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

158431872 is a wasteful number, since it uses less digits than its factorization.

158431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 158431872 is about 12586.9723126731. The cubic root of 158431872 is about 541.1041331683.

The spelling of 158431872 in words is "one hundred fifty-eight million, four hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 48 58 64 82 87 96 116 123 128 164 174 192 232 246 328 347 348 384 464 492 656 694 696 928 984 1041 1189 1312 1388 1392 1856 1968 2082 2378 2624 2776 2784 3567 3712 3936 4164 4756 5248 5552 5568 7134 7872 8328 9512 10063 11104 11136 14227 14268 15744 16656 19024 20126 22208 28454 28536 30189 33312 38048 40252 42681 44416 56908 57072 60378 66624 76096 80504 85362 113816 114144 120756 133248 152192 161008 170724 227632 228288 241512 322016 341448 412583 455264 456576 483024 644032 682896 825166 910528 966048 1237749 1288064 1365792 1650332 1821056 1932096 2475498 2731584 3300664 3864192 4950996 5463168 6601328 9901992 13202656 19803984 26405312 39607968 52810624 79215936 158431872