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23897376 = 2533171627
BaseRepresentation
bin101101100101…
…0010100100000
31122222010001000
41123022110200
522104204001
62212112000
7410060436
oct133122440
948863030
1023897376
11125424a8
128005600
134c49379
143260d56
152170a86
hex16ca520

23897376 has 96 divisors (see below), whose sum is σ = 73846080. Its totient is φ = 7492608.

The previous prime is 23897351. The next prime is 23897381. The reversal of 23897376 is 67379832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13875 + ... + 15501.

It is an arithmetic number, because the mean of its divisors is an integer number (769230).

Almost surely, 223897376 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 23897376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36923040).

23897376 is an abundant number, since it is smaller than the sum of its proper divisors (49948704).

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

23897376 is a wasteful number, since it uses less digits than its factorization.

23897376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1649 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 23897376 is about 4888.4942466981. The cubic root of 23897376 is about 288.0381893802.

The spelling of 23897376 in words is "twenty-three million, eight hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1627 1632 1836 2448 3254 3672 4881 4896 6508 7344 9762 13016 14643 14688 19524 26032 27659 29286 39048 43929 52064 55318 58572 78096 82977 87858 110636 117144 156192 165954 175716 221272 234288 248931 331908 351432 442544 468576 497862 663816 702864 746793 885088 995724 1327632 1405728 1493586 1991448 2655264 2987172 3982896 5974344 7965792 11948688 23897376