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57490048 = 2771119307
BaseRepresentation
bin1101101101001…
…1101010000000
311000011210112001
43123103222000
5104204140143
65412113344
71265441320
oct333235200
9130153461
1057490048
112a4a7140
1217305854
13bbab6a5
1478c7280
1550a914d
hex36d3a80

57490048 has 128 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 21150720.

The previous prime is 57490031. The next prime is 57490051. The reversal of 57490048 is 84009475.

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

It is a junction number, because it is equal to n+sod(n) for n = 57489989 and 57490016.

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, 187111 + ... + 187417.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 257490048 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 57490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

57490048 is an abundant number, since it is smaller than the sum of its proper divisors (93306752).

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

57490048 is a wasteful number, since it uses less digits than its factorization.

57490048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 57490048 is about 7582.2192002078. The cubic root of 57490048 is about 385.9498623882.

The spelling of 57490048 in words is "fifty-seven million, four hundred ninety thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 128 133 152 154 176 209 224 266 304 307 308 352 418 448 532 608 614 616 704 836 896 1064 1216 1228 1232 1408 1463 1672 2128 2149 2432 2456 2464 2926 3344 3377 4256 4298 4912 4928 5833 5852 6688 6754 8512 8596 9824 9856 11666 11704 13376 13508 17024 17192 19648 23332 23408 23639 26752 27016 34384 39296 40831 46664 46816 47278 54032 64163 68768 81662 93328 93632 94556 108064 128326 137536 163324 186656 187264 189112 216128 256652 275072 326648 373312 378224 432256 449141 513304 653296 746624 756448 898282 1026608 1306592 1512896 1796564 2053216 2613184 3025792 3593128 4106432 5226368 7186256 8212864 14372512 28745024 57490048