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5705472 = 283171923
BaseRepresentation
bin10101110000111100000000
3101201212102210
4111300330000
52430033342
6322142120
766332013
oct25607400
911655383
105705472
113247673
121ab1940
131249c26
14a8737a
1577a79c
hex570f00

5705472 has 144 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 1622016.

The previous prime is 5705467. The next prime is 5705527. The reversal of 5705472 is 2745075.

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, 248053 + ... + 248075.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 25705472 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 5705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).

5705472 is an abundant number, since it is smaller than the sum of its proper divisors (11954688).

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

5705472 is a wasteful number, since it uses less digits than its factorization.

5705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 5705472 is about 2388.6129866515. The cubic root of 5705472 is about 178.6887426003.

The spelling of 5705472 in words is "five million, seven hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 23 24 32 34 38 46 48 51 57 64 68 69 76 92 96 102 114 128 136 138 152 184 192 204 228 256 272 276 304 323 368 384 391 408 437 456 544 552 608 646 736 768 782 816 874 912 969 1088 1104 1173 1216 1292 1311 1472 1564 1632 1748 1824 1938 2176 2208 2346 2432 2584 2622 2944 3128 3264 3496 3648 3876 4352 4416 4692 4864 5168 5244 5888 6256 6528 6992 7296 7429 7752 8832 9384 10336 10488 12512 13056 13984 14592 14858 15504 17664 18768 20672 20976 22287 25024 27968 29716 31008 37536 41344 41952 44574 50048 55936 59432 62016 75072 82688 83904 89148 100096 111872 118864 124032 150144 167808 178296 237728 248064 300288 335616 356592 475456 713184 950912 1426368 1901824 2852736 5705472