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70823424 = 29372941
BaseRepresentation
bin1000011100010…
…10111000000000
311221021012110210
410032022320000
5121112322144
611005554120
71516663200
oct416127000
9157235423
1070823424
1136a83761
121b875940
1311899569
149598400
15633eab9
hex438ae00

70823424 has 120 divisors (see below), whose sum is σ = 219715848. Its totient is φ = 20213760.

The previous prime is 70823399. The next prime is 70823443. The reversal of 70823424 is 42432807.

It is a junction number, because it is equal to n+sod(n) for n = 70823391 and 70823400.

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, 74794 + ... + 75734.

Almost surely, 270823424 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 70823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109857924).

70823424 is an abundant number, since it is smaller than the sum of its proper divisors (148892424).

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

70823424 is an equidigital number, since it uses as much as digits as its factorization.

70823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 70823424 is about 8415.6653925878. The cubic root of 70823424 is about 413.7382181303.

The spelling of 70823424 in words is "seventy million, eight hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 941 1176 1344 1536 1568 1792 1882 2352 2688 2823 3136 3584 3764 4704 5376 5646 6272 6587 7528 9408 10752 11292 12544 13174 15056 18816 19761 22584 25088 26348 30112 37632 39522 45168 46109 52696 60224 75264 79044 90336 92218 105392 120448 138327 158088 180672 184436 210784 240896 276654 316176 361344 368872 421568 481792 553308 632352 722688 737744 843136 1106616 1264704 1445376 1475488 1686272 2213232 2529408 2950976 3372544 4426464 5058816 5901952 8852928 10117632 11803904 17705856 23607808 35411712 70823424