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68851376 = 24113797109
BaseRepresentation
bin1000001101010…
…01011010110000
311210120000022222
410012221122300
5120111221001
610455420212
71464140606
oct406513260
9153500288
1068851376
1135957070
121b084668
1311358a79
149203876
1560a061b
hex41a96b0

68851376 has 80 divisors (see below), whose sum is σ = 152386080. Its totient is φ = 29859840.

The previous prime is 68851361. The next prime is 68851429. The reversal of 68851376 is 67315886.

68851376 = T155 + T156 + ... + T746.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (241920) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631610 + ... + 631718.

It is an arithmetic number, because the mean of its divisors is an integer number (1904826).

Almost surely, 268851376 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 68851376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76193040).

68851376 is an abundant number, since it is smaller than the sum of its proper divisors (83534704).

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

68851376 is a wasteful number, since it uses less digits than its factorization.

68851376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 68851376 is about 8297.6729267910. The cubic root of 68851376 is about 409.8618928061.

The spelling of 68851376 in words is "sixty-eight million, eight hundred fifty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 97 109 148 176 194 218 296 388 407 436 592 776 814 872 1067 1199 1552 1628 1744 2134 2398 3256 3589 4033 4268 4796 6512 7178 8066 8536 9592 10573 14356 16132 17072 19184 21146 28712 32264 39479 42292 44363 57424 64528 78958 84584 88726 116303 157916 169168 177452 232606 315832 354904 391201 465212 631664 709808 782402 930424 1564804 1860848 3129608 4303211 6259216 8606422 17212844 34425688 68851376