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57404928 = 293719281
BaseRepresentation
bin1101101011111…
…0111000000000
311000000110202110
43122332320000
5104143424203
65410215320
71264635210
oct332767000
9130013673
1057404928
112a449199
1217284540
13bb7ba19
1478a4240
15508dd03
hex36bee00

57404928 has 160 divisors (see below), whose sum is σ = 184631040. Its totient is φ = 15482880.

The previous prime is 57404927. The next prime is 57404929. The reversal of 57404928 is 82940475.

57404928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57404927) and next prime (57404929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57404927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204148 + ... + 204428.

It is an arithmetic number, because the mean of its divisors is an integer number (1153944).

Almost surely, 257404928 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 57404928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92315520).

57404928 is an abundant number, since it is smaller than the sum of its proper divisors (127226112).

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

57404928 is a wasteful number, since it uses less digits than its factorization.

57404928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 57404928 is about 7576.6039885954. The cubic root of 57404928 is about 385.7592886547.

The spelling of 57404928 in words is "fifty-seven million, four hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 281 304 336 384 399 448 456 512 532 562 608 672 768 798 843 896 912 1064 1124 1216 1344 1536 1596 1686 1792 1824 1967 2128 2248 2432 2688 3192 3372 3584 3648 3934 4256 4496 4864 5339 5376 5901 6384 6744 7296 7868 8512 8992 9728 10678 10752 11802 12768 13488 14592 15736 16017 17024 17984 21356 23604 25536 26976 29184 31472 32034 34048 35968 37373 42712 47208 51072 53952 62944 64068 68096 71936 74746 85424 94416 102144 107904 112119 125888 128136 143872 149492 170848 188832 204288 215808 224238 251776 256272 298984 341696 377664 431616 448476 503552 512544 597968 683392 755328 896952 1007104 1025088 1195936 1366784 1510656 1793904 2050176 2391872 2733568 3021312 3587808 4100352 4783744 7175616 8200704 9567488 14351232 19134976 28702464 57404928