Search a number
-
+
23473152 = 21034283
BaseRepresentation
bin101100110001…
…0110000000000
31122011120010000
41121202300000
522002120102
62155040000
7403342563
oct131426000
948146100
1023473152
11122827aa
127a40000
134b2b251
1431904da
1520da01c
hex1662c00

23473152 has 110 divisors (see below), whose sum is σ = 70343108. Its totient is φ = 7796736.

The previous prime is 23473139. The next prime is 23473171. The reversal of 23473152 is 25137432.

23473152 is a `hidden beast` number, since 2 + 347 + 315 + 2 = 666.

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

Its product of digits (5040) is a multiple of the sum of its prime factors (315).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82803 + ... + 83085.

Almost surely, 223473152 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 23473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35171554).

23473152 is an abundant number, since it is smaller than the sum of its proper divisors (46869956).

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

23473152 is an equidigital number, since it uses as much as digits as its factorization.

23473152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 288 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 23473152 is about 4844.9099062831. The cubic root of 23473152 is about 286.3235941538.

The spelling of 23473152 in words is "twenty-three million, four hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 283 288 324 384 432 512 566 576 648 768 849 864 1024 1132 1152 1296 1536 1698 1728 2264 2304 2547 2592 3072 3396 3456 4528 4608 5094 5184 6792 6912 7641 9056 9216 10188 10368 13584 13824 15282 18112 20376 20736 22923 27168 27648 30564 36224 40752 41472 45846 54336 61128 72448 81504 82944 91692 108672 122256 144896 163008 183384 217344 244512 289792 326016 366768 434688 489024 652032 733536 869376 978048 1304064 1467072 1956096 2608128 2934144 3912192 5868288 7824384 11736576 23473152