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68248000 = 265319449
BaseRepresentation
bin1000001000101…
…10000111000000
311202102100122201
410010112013000
5114432414000
610434442544
71456045522
oct404260700
9152370581
1068248000
1135584807
121aa33454
13111a7242
1490c7a12
155ed196a
hex41161c0

68248000 has 112 divisors (see below), whose sum is σ = 178308000. Its totient is φ = 25804800.

The previous prime is 68247989. The next prime is 68248007. The reversal of 68248000 is 84286.

It is a self number, because there is not a number n which added to its sum of digits gives 68248000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68248007) 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, 151776 + ... + 152224.

Almost surely, 268248000 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 68248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89154000).

68248000 is an abundant number, since it is smaller than the sum of its proper divisors (110060000).

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

68248000 is a wasteful number, since it uses less digits than its factorization.

68248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 68248000 is about 8261.2347745358. The cubic root of 68248000 is about 408.6611093945.

The spelling of 68248000 in words is "sixty-eight million, two hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 449 475 500 608 760 800 898 950 1000 1216 1520 1600 1796 1900 2000 2245 2375 3040 3592 3800 4000 4490 4750 6080 7184 7600 8000 8531 8980 9500 11225 14368 15200 17062 17960 19000 22450 28736 30400 34124 35920 38000 42655 44900 56125 68248 71840 76000 85310 89800 112250 136496 143680 152000 170620 179600 213275 224500 272992 341240 359200 426550 449000 545984 682480 718400 853100 898000 1066375 1364960 1706200 1796000 2132750 2729920 3412400 3592000 4265500 6824800 8531000 13649600 17062000 34124000 68248000