Search a number
-
+
269425152 = 293259991
BaseRepresentation
bin10000000011110…
…001101000000000
3200202222012211100
4100003301220000
51022433101102
642422414400
76451035033
oct2003615000
9622865740
10269425152
111290a1117
1276291400
1343a84289
1427ad501a
15189bea1c
hex100f1a00

269425152 has 120 divisors (see below), whose sum is σ = 791556480. Its totient is φ = 88197120.

The previous prime is 269425133. The next prime is 269425153. The reversal of 269425152 is 251524962.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (269425153) 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, 271377 + ... + 272367.

It is an arithmetic number, because the mean of its divisors is an integer number (6596304).

Almost surely, 2269425152 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 269425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395778240).

269425152 is an abundant number, since it is smaller than the sum of its proper divisors (522131328).

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

269425152 is an equidigital number, since it uses as much as digits as its factorization.

269425152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1055 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 269425152 is about 16414.1753371895. The cubic root of 269425152 is about 645.8713875859.

The spelling of 269425152 in words is "two hundred sixty-nine million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 944 991 1062 1152 1416 1536 1888 1982 2124 2304 2832 2973 3776 3964 4248 4608 5664 5946 7552 7928 8496 8919 11328 11892 15104 15856 16992 17838 22656 23784 30208 31712 33984 35676 45312 47568 58469 63424 67968 71352 90624 95136 116938 126848 135936 142704 175407 190272 233876 253696 271872 285408 350814 380544 467752 507392 526221 570816 701628 761088 935504 1052442 1141632 1403256 1522176 1871008 2104884 2283264 2806512 3742016 4209768 4566528 5613024 7484032 8419536 11226048 14968064 16839072 22452096 29936128 33678144 44904192 67356288 89808384 134712576 269425152