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53025408 = 273367229
BaseRepresentation
bin1100101001000…
…1101010000000
310200202222012000
43022101222000
5102033303113
65132304000
71212465012
oct312215200
9120688160
1053025408
1127a27857
1215912000
13aca74a7
1470841b2
1549c6373
hex3291a80

53025408 has 128 divisors (see below), whose sum is σ = 159528000. Its totient is φ = 17335296.

The previous prime is 53025391. The next prime is 53025449. The reversal of 53025408 is 80452035.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231438 + ... + 231666.

Almost surely, 253025408 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 53025408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79764000).

53025408 is an abundant number, since it is smaller than the sum of its proper divisors (106502592).

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

53025408 is a wasteful number, since it uses less digits than its factorization.

53025408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53025408 is about 7281.8547087950. The cubic root of 53025408 is about 375.6885908066.

The spelling of 53025408 in words is "fifty-three million, twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 229 268 288 384 402 432 458 536 576 603 687 804 864 916 1072 1152 1206 1374 1608 1728 1809 1832 2061 2144 2412 2748 3216 3456 3618 3664 4122 4288 4824 5496 6183 6432 7236 7328 8244 8576 9648 10992 12366 12864 14472 14656 15343 16488 19296 21984 24732 25728 28944 29312 30686 32976 38592 43968 46029 49464 57888 61372 65952 77184 87936 92058 98928 115776 122744 131904 138087 184116 197856 231552 245488 263808 276174 368232 395712 414261 490976 552348 736464 791424 828522 981952 1104696 1472928 1657044 1963904 2209392 2945856 3314088 4418784 5891712 6628176 8837568 13256352 17675136 26512704 53025408