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23689472 = 28374161
BaseRepresentation
bin101101001011…
…1100100000000
31122120112211212
41122113210000
522031030342
62203425252
7405233342
oct132274400
948515755
1023689472
1112410284
127b25228
134ba5851
143209292
15212e182
hex1697900

23689472 has 72 divisors (see below), whose sum is σ = 50564472. Its totient is φ = 11059200.

The previous prime is 23689469. The next prime is 23689499. The reversal of 23689472 is 27498632.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 23658496 = 176^2 + 4864^2 .

It is a super-2 number, since 2×236894722 = 1122382167277568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388322 + ... + 388382.

Almost surely, 223689472 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 23689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25282236).

23689472 is an abundant number, since it is smaller than the sum of its proper divisors (26875000).

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

23689472 is an equidigital number, since it uses as much as digits as its factorization.

23689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 23689472 is about 4867.1831689387. The cubic root of 23689472 is about 287.2004572686.

It can be divided in two parts, 2368 and 9472, that multiplied together give a square (22429696 = 47362).

The spelling of 23689472 in words is "twenty-three million, six hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 41 61 64 74 82 122 128 148 164 244 256 296 328 488 592 656 976 1184 1312 1517 1952 2257 2368 2501 2624 3034 3904 4514 4736 5002 5248 6068 7808 9028 9472 10004 10496 12136 15616 18056 20008 24272 36112 40016 48544 72224 80032 92537 97088 144448 160064 185074 194176 288896 320128 370148 388352 577792 640256 740296 1480592 2961184 5922368 11844736 23689472