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56098848 = 2531379569
BaseRepresentation
bin1101011000000…
…0000000100000
310220120010011010
43112000000200
5103330130343
65322220520
71250555331
oct326000040
9126503133
1056098848
1129736993
1216954740
13b8123b0
147644288
154dd1d33
hex3580020

56098848 has 96 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 17012736.

The previous prime is 56098841. The next prime is 56098891. The reversal of 56098848 is 84889065.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 56098797 and 56098806.

It is not an unprimeable number, because it can be changed into a prime (56098841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98308 + ... + 98876.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 256098848 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 56098848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

56098848 is an abundant number, since it is smaller than the sum of its proper divisors (104777952).

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

56098848 is a wasteful number, since it uses less digits than its factorization.

56098848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 56098848 is about 7489.9164214295. The cubic root of 56098848 is about 382.8112106901.

The spelling of 56098848 in words is "fifty-six million, ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 79 96 104 156 158 208 237 312 316 416 474 569 624 632 948 1027 1138 1248 1264 1707 1896 2054 2276 2528 3081 3414 3792 4108 4552 6162 6828 7397 7584 8216 9104 12324 13656 14794 16432 18208 22191 24648 27312 29588 32864 44382 44951 49296 54624 59176 88764 89902 98592 118352 134853 177528 179804 236704 269706 355056 359608 539412 584363 710112 719216 1078824 1168726 1438432 1753089 2157648 2337452 3506178 4315296 4674904 7012356 9349808 14024712 18699616 28049424 56098848