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29482040 = 2357711483
BaseRepresentation
bin111000001110…
…1110000111000
32001110211202102
41300131300320
530021411130
62531522532
7505410320
oct160356070
961424672
1029482040
1115707325
129a59448
1361532c3
143cb6280
1528c5645
hex1c1dc38

29482040 has 64 divisors (see below), whose sum is σ = 76930560. Its totient is φ = 9959040.

The previous prime is 29482027. The next prime is 29482043. The reversal of 29482040 is 4028492.

It is a junction number, because it is equal to n+sod(n) for n = 29481994 and 29482012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29482043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19139 + ... + 20621.

It is an arithmetic number, because the mean of its divisors is an integer number (1202040).

Almost surely, 229482040 is an apocalyptic number.

29482040 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 29482040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38465280).

29482040 is an abundant number, since it is smaller than the sum of its proper divisors (47448520).

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

29482040 is a wasteful number, since it uses less digits than its factorization.

29482040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 29482040 is about 5429.7366418639. The cubic root of 29482040 is about 308.9246123383.

The spelling of 29482040 in words is "twenty-nine million, four hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1420 1483 1988 2485 2840 2966 3976 4970 5932 7415 9940 10381 11864 14830 19880 20762 29660 41524 51905 59320 83048 103810 105293 207620 210586 415240 421172 526465 737051 842344 1052930 1474102 2105860 2948204 3685255 4211720 5896408 7370510 14741020 29482040