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29483840 = 265199463
BaseRepresentation
bin111000001111…
…0001101000000
32001110221020002
41300132031000
530021440330
62531535132
7505415501
oct160361500
961427202
1029483840
1115708711
129a5a4a8
136154079
143cb6ba8
1528c5e45
hex1c1e340

29483840 has 56 divisors (see below), whose sum is σ = 70713600. Its totient is φ = 11708928.

The previous prime is 29483833. The next prime is 29483843. The reversal of 29483840 is 4838492.

It is a super-2 number, since 2×294838402 = 1738593642291200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29483794 and 29483803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29483843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63449 + ... + 63911.

Almost surely, 229483840 is an apocalyptic number.

29483840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35356800).

29483840 is an abundant number, since it is smaller than the sum of its proper divisors (41229760).

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

29483840 is a wasteful number, since it uses less digits than its factorization.

29483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 29483840 is about 5429.9023932296. The cubic root of 29483840 is about 308.9308992504.

The spelling of 29483840 in words is "twenty-nine million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 199 320 398 463 796 926 995 1592 1852 1990 2315 3184 3704 3980 4630 6368 7408 7960 9260 12736 14816 15920 18520 29632 31840 37040 63680 74080 92137 148160 184274 368548 460685 737096 921370 1474192 1842740 2948384 3685480 5896768 7370960 14741920 29483840