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29219840 = 210513439
BaseRepresentation
bin110111101110…
…1110000000000
32000222112002022
41233131300000
524440013330
62522141012
7503236016
oct157356000
960875068
1029219840
1115548331
129951768
136090b60
143c488b6
152872ae5
hex1bddc00

29219840 has 88 divisors (see below), whose sum is σ = 75657120. Its totient is φ = 10764288.

The previous prime is 29219789. The next prime is 29219893. The reversal of 29219840 is 4891292.

It is a self number, because there is not a number n which added to its sum of digits gives 29219840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66341 + ... + 66779.

It is an arithmetic number, because the mean of its divisors is an integer number (859740).

Almost surely, 229219840 is an apocalyptic number.

29219840 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 29219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37828560).

29219840 is an abundant number, since it is smaller than the sum of its proper divisors (46437280).

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

29219840 is a wasteful number, since it uses less digits than its factorization.

29219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 29219840 is about 5405.5379010789. The cubic root of 29219840 is about 308.0060717305.

The spelling of 29219840 in words is "twenty-nine million, two hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 439 512 520 640 832 878 1024 1040 1280 1664 1756 2080 2195 2560 3328 3512 4160 4390 5120 5707 6656 7024 8320 8780 11414 13312 14048 16640 17560 22828 28096 28535 33280 35120 45656 56192 57070 66560 70240 91312 112384 114140 140480 182624 224768 228280 280960 365248 449536 456560 561920 730496 913120 1123840 1460992 1826240 2247680 2921984 3652480 5843968 7304960 14609920 29219840