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68051844 = 223271961233
BaseRepresentation
bin1000000111001…
…10001110000100
311202001101120200
410003212032010
5114410124334
610430330500
71454300610
oct403461604
9152041520
1068051844
11354603a3
121a959a30
1311138b83
149076340
155e93799
hex40e6384

68051844 has 144 divisors (see below), whose sum is σ = 211236480. Its totient is φ = 18040320.

The previous prime is 68051827. The next prime is 68051857. The reversal of 68051844 is 44815086.

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

It is a junction number, because it is equal to n+sod(n) for n = 68051799 and 68051808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291952 + ... + 292184.

It is an arithmetic number, because the mean of its divisors is an integer number (1466920).

Almost surely, 268051844 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 68051844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105618240).

68051844 is an abundant number, since it is smaller than the sum of its proper divisors (143184636).

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

68051844 is a wasteful number, since it uses less digits than its factorization.

68051844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68051844 is about 8249.3541565386. The cubic root of 68051844 is about 408.2692139035.

It can be divided in two parts, 6805 and 1844, that added together give a square (8649 = 932).

The spelling of 68051844 in words is "sixty-eight million, fifty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 61 63 76 84 114 122 126 133 171 183 228 233 244 252 266 342 366 399 427 466 532 549 684 699 732 798 854 932 1098 1159 1197 1281 1398 1596 1631 1708 2097 2196 2318 2394 2562 2796 3262 3477 3843 4194 4427 4636 4788 4893 5124 6524 6954 7686 8113 8388 8854 9786 10431 13281 13908 14213 14679 15372 16226 17708 19572 20862 24339 26562 28426 29358 30989 32452 39843 41724 42639 48678 53124 56852 58716 61978 73017 79686 85278 92967 97356 99491 123956 127917 146034 159372 170556 185934 198982 255834 270047 278901 292068 298473 371868 397964 511668 540094 557802 596946 810141 895419 1080188 1115604 1193892 1620282 1790838 1890329 2430423 3240564 3581676 3780658 4860846 5670987 7561316 9721692 11341974 17012961 22683948 34025922 68051844