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38042256 = 24371959101
BaseRepresentation
bin1001000100011…
…1101010010000
32122120202011110
42101013222100
534214323011
63435213320
7641232240
oct221075220
978522143
1038042256
111a52378a
12108a7240
137b5c715
1450a3b20
153516ba6
hex2447a90

38042256 has 160 divisors (see below), whose sum is σ = 121420800. Its totient is φ = 10022400.

The previous prime is 38042227. The next prime is 38042261. The reversal of 38042256 is 65224083.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376606 + ... + 376706.

It is an arithmetic number, because the mean of its divisors is an integer number (758880).

Almost surely, 238042256 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 38042256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710400).

38042256 is an abundant number, since it is smaller than the sum of its proper divisors (83378544).

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

38042256 is a wasteful number, since it uses less digits than its factorization.

38042256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 38042256 is about 6167.8404648629. The cubic root of 38042256 is about 336.3221117387.

The spelling of 38042256 in words is "thirty-eight million, forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 59 76 84 101 112 114 118 133 152 168 177 202 228 236 266 303 304 336 354 399 404 413 456 472 532 606 707 708 798 808 826 912 944 1064 1121 1212 1239 1414 1416 1596 1616 1652 1919 2121 2128 2242 2424 2478 2828 2832 3192 3304 3363 3838 4242 4484 4848 4956 5656 5757 5959 6384 6608 6726 7676 7847 8484 8968 9912 11312 11514 11918 13433 13452 15352 15694 16968 17877 17936 19824 23028 23541 23836 26866 26904 30704 31388 33936 35754 40299 41713 46056 47082 47672 53732 53808 62776 71508 80598 83426 92112 94164 95344 107464 113221 125139 125552 143016 161196 166852 188328 214928 226442 250278 286032 322392 333704 339663 376656 452884 500556 644784 667408 679326 792547 905768 1001112 1358652 1585094 1811536 2002224 2377641 2717304 3170188 4755282 5434608 6340376 9510564 12680752 19021128 38042256