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20504448 = 273317349
BaseRepresentation
bin100111000110…
…1111110000000
31102120201211000
41032031332000
520222120243
62011252000
7336166506
oct116157600
942521730
1020504448
1110635328
126a4a000
13432bc13
142a1a676
151c005d3
hex138df80

20504448 has 128 divisors (see below), whose sum is σ = 64260000. Its totient is φ = 6414336.

The previous prime is 20504437. The next prime is 20504453. The reversal of 20504448 is 84440502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 58578 + ... + 58926.

Almost surely, 220504448 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 20504448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32130000).

20504448 is an abundant number, since it is smaller than the sum of its proper divisors (43755552).

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

20504448 is a wasteful number, since it uses less digits than its factorization.

20504448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 20504448 is about 4528.1837418550. The cubic root of 20504448 is about 273.7049766450.

The spelling of 20504448 in words is "twenty million, five hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 349 384 408 432 459 544 576 612 698 816 864 918 1047 1088 1152 1224 1396 1632 1728 1836 2094 2176 2448 2792 3141 3264 3456 3672 4188 4896 5584 5933 6282 6528 7344 8376 9423 9792 11168 11866 12564 14688 16752 17799 18846 19584 22336 23732 25128 29376 33504 35598 37692 44672 47464 50256 53397 58752 67008 71196 75384 94928 100512 106794 134016 142392 150768 160191 189856 201024 213588 284784 301536 320382 379712 402048 427176 569568 603072 640764 759424 854352 1139136 1206144 1281528 1708704 2278272 2563056 3417408 5126112 6834816 10252224 20504448