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29424990 = 2357237541
BaseRepresentation
bin111000000111…
…1110101011110
32001100221111110
41300033311132
530013044430
62530402450
7505052100
oct160176536
961327443
1029424990
1115678481
129a30426
13613334a
143c9d570
1528b37b0
hex1c0fd5e

29424990 has 96 divisors (see below), whose sum is σ = 84525984. Its totient is φ = 6531840.

The previous prime is 29424971. The next prime is 29424991. The reversal of 29424990 is 9942492.

29424990 = T20 + T21 + ... + T560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29424991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54120 + ... + 54660.

It is an arithmetic number, because the mean of its divisors is an integer number (880479).

Almost surely, 229424990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29424990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42262992).

29424990 is an abundant number, since it is smaller than the sum of its proper divisors (55100994).

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

29424990 is a wasteful number, since it uses less digits than its factorization.

29424990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 29424990 is about 5424.4806202991. The cubic root of 29424990 is about 308.7252194266.

The spelling of 29424990 in words is "twenty-nine million, four hundred twenty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 70 74 98 105 111 147 185 210 222 245 259 294 370 490 518 541 555 735 777 1082 1110 1295 1470 1554 1623 1813 2590 2705 3246 3626 3787 3885 5410 5439 7574 7770 8115 9065 10878 11361 16230 18130 18935 20017 22722 26509 27195 37870 40034 53018 54390 56805 60051 79527 100085 113610 120102 132545 140119 159054 200170 265090 280238 300255 397635 420357 600510 700595 795270 840714 980833 1401190 1961666 2101785 2942499 4203570 4904165 5884998 9808330 14712495 29424990