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23427456 = 273132192
BaseRepresentation
bin101100101011…
…1100110000000
31122002020102120
41121113212000
521444134311
62154044240
7403062423
oct131274600
948066376
1023427456
1112251438
127a19680
134b13500
14317b9ba
1520cb706
hex1657980

23427456 has 144 divisors (see below), whose sum is σ = 71117460. Its totient is φ = 6829056.

The previous prime is 23427449. The next prime is 23427461. The reversal of 23427456 is 65472432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1233015 + ... + 1233033.

Almost surely, 223427456 is an apocalyptic number.

23427456 is a gapful number since it is divisible by the number (26) 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 23427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35558730).

23427456 is an abundant number, since it is smaller than the sum of its proper divisors (47690004).

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

23427456 is a wasteful number, since it uses less digits than its factorization.

23427456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 37 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 23427456 is about 4840.1917317396. The cubic root of 23427456 is about 286.1376747623.

Adding to 23427456 its reverse (65472432), we get a palindrome (88899888).

The spelling of 23427456 in words is "twenty-three million, four hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 169 192 208 228 247 304 312 338 361 384 416 456 494 507 608 624 676 722 741 832 912 988 1014 1083 1216 1248 1352 1444 1482 1664 1824 1976 2028 2166 2432 2496 2704 2888 2964 3211 3648 3952 4056 4332 4693 4992 5408 5776 5928 6422 7296 7904 8112 8664 9386 9633 10816 11552 11856 12844 14079 15808 16224 17328 18772 19266 21632 23104 23712 25688 28158 31616 32448 34656 37544 38532 46208 47424 51376 56316 61009 64896 69312 75088 77064 94848 102752 112632 122018 138624 150176 154128 183027 205504 225264 244036 300352 308256 366054 411008 450528 488072 600704 616512 732108 901056 976144 1233024 1464216 1802112 1952288 2928432 3904576 5856864 7809152 11713728 23427456