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19409312 = 251323797
BaseRepresentation
bin100101000001…
…0100110100000
31100112002120102
41022002212200
514432044222
61532001532
7323655626
oct112024640
940462512
1019409312
11aa5755a
1266002a8
134037600
142813516
151a85d92
hex12829a0

19409312 has 72 divisors (see below), whose sum is σ = 42933996. Its totient is φ = 8626176.

The previous prime is 19409293. The next prime is 19409321. The reversal of 19409312 is 21390491.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6130576 + 13278736 = 2476^2 + 3644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200048 + ... + 200144.

Almost surely, 219409312 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 19409312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21466998).

19409312 is an abundant number, since it is smaller than the sum of its proper divisors (23524684).

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

19409312 is a wasteful number, since it uses less digits than its factorization.

19409312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 19409312 is about 4405.6000726348. The cubic root of 19409312 is about 268.7427232932.

The spelling of 19409312 in words is "nineteen million, four hundred nine thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 97 104 148 169 194 208 296 338 388 416 481 592 676 776 962 1184 1261 1352 1552 1924 2522 2704 3104 3589 3848 5044 5408 6253 7178 7696 10088 12506 14356 15392 16393 20176 25012 28712 32786 40352 46657 50024 57424 65572 93314 100048 114848 131144 186628 200096 262288 373256 524576 606541 746512 1213082 1493024 2426164 4852328 9704656 19409312