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29986944 = 273136007
BaseRepresentation
bin111001001100…
…1000010000000
32002102111100120
41302121002000
530134040234
62550420240
7512612331
oct162310200
962374316
1029986944
1115a216a9
12a061680
13629c070
143da8288
152975049
hex1c99080

29986944 has 64 divisors (see below), whose sum is σ = 85794240. Its totient is φ = 9225216.

The previous prime is 29986919. The next prime is 29986967. The reversal of 29986944 is 44968992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 1989 + ... + 7995.

It is an arithmetic number, because the mean of its divisors is an integer number (1340535).

Almost surely, 229986944 is an apocalyptic number.

29986944 is a gapful number since it is divisible by the number (24) 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 29986944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42897120).

29986944 is an abundant number, since it is smaller than the sum of its proper divisors (55807296).

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

29986944 is a wasteful number, since it uses less digits than its factorization.

29986944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6025 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 29986944 is about 5476.0336010656. The cubic root of 29986944 is about 310.6781684686.

The spelling of 29986944 in words is "twenty-nine million, nine hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 6007 12014 18021 24028 36042 48056 72084 78091 96112 144168 156182 192224 234273 288336 312364 384448 468546 576672 624728 768896 937092 1153344 1249456 1874184 2306688 2498912 3748368 4997824 7496736 9995648 14993472 29986944