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19904352 = 2531341389
BaseRepresentation
bin100101111101…
…1011101100000
31101110020122020
41023323131200
520043414402
61550341440
7331120116
oct113733540
941406566
1019904352
1110265486
1267ba880
13417ba30
142901ab6
151b328bc
hex12fb760

19904352 has 96 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 5959680.

The previous prime is 19904347. The next prime is 19904377. The reversal of 19904352 is 25340991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50974 + ... + 51362.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 219904352 is an apocalyptic number.

19904352 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 19904352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

19904352 is an abundant number, since it is smaller than the sum of its proper divisors (37884288).

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

19904352 is a wasteful number, since it uses less digits than its factorization.

19904352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 19904352 is about 4461.4293673665. The cubic root of 19904352 is about 271.0083556562.

The spelling of 19904352 in words is "nineteen million, nine hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 78 82 96 104 123 156 164 208 246 312 328 389 416 492 533 624 656 778 984 1066 1167 1248 1312 1556 1599 1968 2132 2334 3112 3198 3936 4264 4668 5057 6224 6396 8528 9336 10114 12448 12792 15171 15949 17056 18672 20228 25584 30342 31898 37344 40456 47847 51168 60684 63796 80912 95694 121368 127592 161824 191388 207337 242736 255184 382776 414674 485472 510368 622011 765552 829348 1244022 1531104 1658696 2488044 3317392 4976088 6634784 9952176 19904352