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56496096 = 2533232843
BaseRepresentation
bin1101011110000…
…0111111100000
310221022022002000
43113200333200
5103430333341
65334524000
71254131436
oct327407740
9127268060
1056496096
1129988398
1216b06600
13b921157
147708d56
154e5e8b6
hex35e0fe0

56496096 has 96 divisors (see below), whose sum is σ = 172005120. Its totient is φ = 18006912.

The previous prime is 56496079. The next prime is 56496103. The reversal of 56496096 is 69069465.

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

It is a congruent number.

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, 18451 + ... + 21293.

It is an arithmetic number, because the mean of its divisors is an integer number (1791720).

Almost surely, 256496096 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 56496096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86002560).

56496096 is an abundant number, since it is smaller than the sum of its proper divisors (115509024).

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

56496096 is a wasteful number, since it uses less digits than its factorization.

56496096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 56496096 is about 7516.3884944832. The cubic root of 56496096 is about 383.7126756910.

The spelling of 56496096 in words is "fifty-six million, four hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 2843 3312 4968 5686 6624 8529 9936 11372 17058 19872 22744 25587 34116 45488 51174 65389 68232 76761 90976 102348 130778 136464 153522 196167 204696 261556 272928 307044 392334 409392 523112 588501 614088 784668 818784 1046224 1177002 1228176 1569336 1765503 2092448 2354004 2456352 3138672 3531006 4708008 6277344 7062012 9416016 14124024 18832032 28248048 56496096