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5071968 = 2532111601
BaseRepresentation
bin10011010110010001100000
3100112200102200
4103112101200
52244300333
6300413200
761053036
oct23262140
910480380
105071968
112954710
121847200
131087785
14960556
156a2c13
hex4d6460

5071968 has 72 divisors (see below), whose sum is σ = 15744456. Its totient is φ = 1536000.

The previous prime is 5071951. The next prime is 5071973. The reversal of 5071968 is 8691705.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2368 + ... + 3968.

It is an arithmetic number, because the mean of its divisors is an integer number (218673).

Almost surely, 25071968 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 5071968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872228).

5071968 is an abundant number, since it is smaller than the sum of its proper divisors (10672488).

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

5071968 is a wasteful number, since it uses less digits than its factorization.

5071968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5071968 is about 2252.1030171819. The cubic root of 5071968 is about 171.8141132213.

The spelling of 5071968 in words is "five million, seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1601 3168 3202 4803 6404 9606 12808 14409 17611 19212 25616 28818 35222 38424 51232 52833 57636 70444 76848 105666 115272 140888 153696 158499 211332 230544 281776 316998 422664 461088 563552 633996 845328 1267992 1690656 2535984 5071968