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19628352 = 263337307
BaseRepresentation
bin100101011100…
…0000101000000
31100221020001000
41022320011000
520011101402
61540412000
7325560342
oct112700500
940836030
1019628352
1110097087
1266a7000
1340b3213
14286d292
151acac1c
hex12b8140

19628352 has 112 divisors (see below), whose sum is σ = 59456320. Its totient is φ = 6345216.

The previous prime is 19628351. The next prime is 19628369. The reversal of 19628352 is 25382691.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19628351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63783 + ... + 64089.

It is an arithmetic number, because the mean of its divisors is an integer number (530860).

Almost surely, 219628352 is an apocalyptic number.

19628352 is a gapful number since it is divisible by the number (12) 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 19628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29728160).

19628352 is an abundant number, since it is smaller than the sum of its proper divisors (39827968).

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

19628352 is a wasteful number, since it uses less digits than its factorization.

19628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 19628352 is about 4430.3895991211. The cubic root of 19628352 is about 269.7498918465.

The spelling of 19628352 in words is "nineteen million, six hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 307 333 432 444 576 592 614 666 864 888 921 999 1184 1228 1332 1728 1776 1842 1998 2368 2456 2664 2763 3552 3684 3996 4912 5328 5526 7104 7368 7992 8289 9824 10656 11052 11359 14736 15984 16578 19648 21312 22104 22718 29472 31968 33156 34077 44208 45436 58944 63936 66312 68154 88416 90872 102231 132624 136308 176832 181744 204462 265248 272616 306693 363488 408924 530496 545232 613386 726976 817848 1090464 1226772 1635696 2180928 2453544 3271392 4907088 6542784 9814176 19628352