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9969408 = 28324327
BaseRepresentation
bin100110000001…
…111100000000
3200202111110100
4212001330000
510023010113
6553402400
7150511221
oct46017400
920674410
109969408
11569a189
123409400
1320b0977
141477248
15d1dd73
hex981f00

9969408 has 54 divisors (see below), whose sum is σ = 28750904. Its totient is φ = 3322368.

The previous prime is 9969397. The next prime is 9969431. The reversal of 9969408 is 8049699.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141 + ... + 4467.

Almost surely, 29969408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14375452).

9969408 is an abundant number, since it is smaller than the sum of its proper divisors (18781496).

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

9969408 is a wasteful number, since it uses less digits than its factorization.

9969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9969408 is about 3157.4369352372. The cubic root of 9969408 is about 215.2235497047.

It can be divided in two parts, 996 and 9408, that added together give a square (10404 = 1022).

The spelling of 9969408 in words is "nine million, nine hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4327 8654 12981 17308 25962 34616 38943 51924 69232 77886 103848 138464 155772 207696 276928 311544 415392 553856 623088 830784 1107712 1246176 1661568 2492352 3323136 4984704 9969408