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68374848 = 263477577
BaseRepresentation
bin1000001001101…
…01000101000000
311202122210122210
410010311011000
5120000443343
610441302120
71460114403
oct404650500
9152583583
1068374848
1135661043
121aa94940
131121cbb9
14911bd3a
156009333
hex4135140

68374848 has 56 divisors (see below), whose sum is σ = 184781952. Its totient is φ = 22303744.

The previous prime is 68374847. The next prime is 68374849. The reversal of 68374848 is 84847386.

It is an interprime number because it is at equal distance from previous prime (68374847) and next prime (68374849).

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 = 68374797 and 68374806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68374843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5236 + ... + 12812.

Almost surely, 268374848 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 68374848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92390976).

68374848 is an abundant number, since it is smaller than the sum of its proper divisors (116407104).

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

68374848 is a wasteful number, since it uses less digits than its factorization.

68374848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639 (or 7629 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 68374848 is about 8268.9085132199. The cubic root of 68374848 is about 408.9141364022.

The spelling of 68374848 in words is "sixty-eight million, three hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 7577 9024 15154 22731 30308 45462 60616 90924 121232 181848 242464 356119 363696 484928 712238 727392 1068357 1424476 1454784 2136714 2848952 4273428 5697904 8546856 11395808 17093712 22791616 34187424 68374848