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12238848 = 2143283
BaseRepresentation
bin101110101100…
…000000000000
3212000210112200
4232230000000
511113120343
61114153200
7206012526
oct56540000
925023480
1012238848
1169aa256
124122800
1326c692b
1418a8316
15111b4d3
hexbac000

12238848 has 90 divisors (see below), whose sum is σ = 35781564. Its totient is φ = 4030464.

The previous prime is 12238843. The next prime is 12238859. The reversal of 12238848 is 84883221.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (12238843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147415 + ... + 147497.

Almost surely, 212238848 is an apocalyptic number.

12238848 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 12238848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17890782).

12238848 is an abundant number, since it is smaller than the sum of its proper divisors (23542716).

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

12238848 is an frugal number, since it uses more digits than its factorization.

12238848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 12238848 is about 3498.4064943914. The cubic root of 12238848 is about 230.4518401869.

The spelling of 12238848 in words is "twelve million, two hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1024 1152 1328 1494 1536 1992 2048 2304 2656 2988 3072 3984 4096 4608 5312 5976 6144 7968 8192 9216 10624 11952 12288 15936 16384 18432 21248 23904 24576 31872 36864 42496 47808 49152 63744 73728 84992 95616 127488 147456 169984 191232 254976 339968 382464 509952 679936 764928 1019904 1359872 1529856 2039808 3059712 4079616 6119424 12238848