Search a number
-
+
152272008 = 23337214387
BaseRepresentation
bin10010001001101…
…11110010001000
3101121112012221000
421010313302020
5302440201013
623035415000
73526201500
oct1104676210
9347465830
10152272008
1178a54239
1242bb4460
13257160a5
141631aa00
15d57c973
hex9137c88

152272008 has 96 divisors (see below), whose sum is σ = 492069600. Its totient is φ = 43503264.

The previous prime is 152271989. The next prime is 152272037. The reversal of 152272008 is 800272251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3391 + ... + 17777.

It is an arithmetic number, because the mean of its divisors is an integer number (5125725).

Almost surely, 2152272008 is an apocalyptic number.

152272008 is a gapful number since it is divisible by the number (18) 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 152272008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246034800).

152272008 is an abundant number, since it is smaller than the sum of its proper divisors (339797592).

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

152272008 is a wasteful number, since it uses less digits than its factorization.

152272008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14416 (or 14399 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 152272008 is about 12339.8544561919. The cubic root of 152272008 is about 533.9984850355.

The spelling of 152272008 in words is "one hundred fifty-two million, two hundred seventy-two thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 14387 28774 43161 57548 86322 100709 115096 129483 172644 201418 258966 302127 345288 388449 402836 517932 604254 704963 776898 805672 906381 1035864 1208508 1409926 1553796 1812762 2114889 2417016 2719143 2819852 3107592 3625524 4229778 5438286 5639704 6344667 7251048 8459556 10876572 12689334 16919112 19034001 21753144 25378668 38068002 50757336 76136004 152272008