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68026464 = 253211109197
BaseRepresentation
bin1000000111000…
…00000001100000
311202000002202200
410003200001200
5114403321324
610430013200
71454133612
oct403400140
9152002680
1068026464
1135443320
121a947200
131112a45c
14906adb2
155e8aec9
hex40e0060

68026464 has 144 divisors (see below), whose sum is σ = 214053840. Its totient is φ = 20321280.

The previous prime is 68026463. The next prime is 68026471. The reversal of 68026464 is 46462086.

It is a happy number.

68026464 is a `hidden beast` number, since 6 + 8 + 0 + 2 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68026463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345214 + ... + 345410.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 268026464 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 68026464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107026920).

68026464 is an abundant number, since it is smaller than the sum of its proper divisors (146027376).

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

68026464 is a wasteful number, since it uses less digits than its factorization.

68026464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 68026464 is about 8247.8157108413. The cubic root of 68026464 is about 408.2184527952.

The spelling of 68026464 in words is "sixty-eight million, twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 109 132 144 176 197 198 218 264 288 327 352 394 396 436 528 591 654 788 792 872 981 1056 1182 1199 1308 1576 1584 1744 1773 1962 2167 2364 2398 2616 3152 3168 3488 3546 3597 3924 4334 4728 4796 5232 6304 6501 7092 7194 7848 8668 9456 9592 10464 10791 13002 14184 14388 15696 17336 18912 19184 19503 21473 21582 26004 28368 28776 31392 34672 38368 39006 42946 43164 52008 56736 57552 64419 69344 78012 85892 86328 104016 115104 128838 156024 171784 172656 193257 208032 236203 257676 312048 343568 345312 386514 472406 515352 624096 687136 708609 773028 944812 1030704 1417218 1546056 1889624 2061408 2125827 2834436 3092112 3779248 4251654 5668872 6184224 7558496 8503308 11337744 17006616 22675488 34013232 68026464