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68029248 = 263731033
BaseRepresentation
bin1000000111000…
…00101101000000
311202000020120210
410003200231000
5114403413443
610430034120
71454145000
oct403405500
9152006523
1068029248
1135445421
121a948940
131112b7c1
14906c000
155e8bc33
hex40e0b40

68029248 has 112 divisors (see below), whose sum is σ = 210108800. Its totient is φ = 19418112.

The previous prime is 68029237. The next prime is 68029267. The reversal of 68029248 is 84292086.

It is a tau number, because it is divible by the number of its divisors (112).

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, 65340 + ... + 66372.

Almost surely, 268029248 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 68029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105054400).

68029248 is an abundant number, since it is smaller than the sum of its proper divisors (142079552).

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

68029248 is a wasteful number, since it uses less digits than its factorization.

68029248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68029248 is about 8247.9844810717. The cubic root of 68029248 is about 408.2240215332.

The spelling of 68029248 in words is "sixty-eight million, twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1033 1176 1344 1372 1568 2058 2066 2352 2744 3099 3136 4116 4132 4704 5488 6198 7231 8232 8264 9408 10976 12396 14462 16464 16528 21693 21952 24792 28924 32928 33056 43386 49584 50617 57848 65856 66112 86772 99168 101234 115696 151851 173544 198336 202468 231392 303702 347088 354319 404936 462784 607404 694176 708638 809872 1062957 1214808 1388352 1417276 1619744 2125914 2429616 2834552 3239488 4251828 4859232 5669104 8503656 9718464 11338208 17007312 22676416 34014624 68029248