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68850432 = 283371423
BaseRepresentation
bin1000001101010…
…01001100000000
311210112222001000
410012221030000
5120111203212
610455412000
71464135060
oct406511400
9153488030
1068850432
1135956392
121b084000
1311358501
1492033a0
1560a01dc
hex41a9300

68850432 has 144 divisors (see below), whose sum is σ = 232852480. Its totient is φ = 19657728.

The previous prime is 68850427. The next prime is 68850443. The reversal of 68850432 is 23405886.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47673 + ... + 49095.

Almost surely, 268850432 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 68850432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116426240).

68850432 is an abundant number, since it is smaller than the sum of its proper divisors (164002048).

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

68850432 is a wasteful number, since it uses less digits than its factorization.

68850432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 68850432 is about 8297.6160431777. The cubic root of 68850432 is about 409.8600196342.

The spelling of 68850432 in words is "sixty-eight million, eight hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1423 1512 1728 1792 2016 2304 2688 2846 3024 3456 4032 4269 5376 5692 6048 6912 8064 8538 9961 11384 12096 12807 16128 17076 19922 22768 24192 25614 29883 34152 38421 39844 45536 48384 51228 59766 68304 76842 79688 89649 91072 102456 119532 136608 153684 159376 179298 182144 204912 239064 268947 273216 307368 318752 358596 364288 409824 478128 537894 546432 614736 637504 717192 819648 956256 1075788 1092864 1229472 1275008 1434384 1639296 1912512 2151576 2458944 2550016 2868768 3278592 3825024 4303152 4917888 5737536 7650048 8606304 9835776 11475072 17212608 22950144 34425216 68850432