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70383456 = 253211131709
BaseRepresentation
bin1000011000111…
…11011101100000
311220102211221200
410030133131200
5121004232311
610552321200
71513151403
oct414373540
9156384850
1070383456
1136803150
121b6a3200
1311774220
1494c1d3a
1562a4556
hex431f760

70383456 has 144 divisors (see below), whose sum is σ = 235282320. Its totient is φ = 19676160.

The previous prime is 70383449. The next prime is 70383457. The reversal of 70383456 is 65438307.

It is a happy number.

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 an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 70383456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70383457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40330 + ... + 42038.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 270383456 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 70383456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

70383456 is an abundant number, since it is smaller than the sum of its proper divisors (164898864).

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

70383456 is a wasteful number, since it uses less digits than its factorization.

70383456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 70383456 is about 8389.4848471167. The cubic root of 70383456 is about 412.8796988716.

The spelling of 70383456 in words is "seventy million, three hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1709 1716 1872 2288 2574 3168 3418 3432 3744 4576 5127 5148 6836 6864 10254 10296 13672 13728 15381 18799 20508 20592 22217 27344 30762 37598 41016 41184 44434 54688 56397 61524 66651 75196 82032 88868 112794 123048 133302 150392 164064 169191 177736 199953 225588 244387 246096 266604 300784 338382 355472 399906 451176 488774 492192 533208 601568 676764 710944 733161 799812 902352 977548 1066416 1353528 1466322 1599624 1804704 1955096 2132832 2199483 2707056 2932644 3199248 3910192 4398966 5414112 5865288 6398496 7820384 8797932 11730576 17595864 23461152 35191728 70383456