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57454980 = 223511263331
BaseRepresentation
bin1101101100101…
…1000110000100
311000010000102020
43123023012010
5104202024410
65411243140
71265234142
oct333130604
9130100366
1057454980
112a482860
12172a94b0
13bb9873b
1478b8592
15509da70
hex36cb184

57454980 has 96 divisors (see below), whose sum is σ = 176698368. Its totient is φ = 13833600.

The previous prime is 57454937. The next prime is 57455023. The reversal of 57454980 is 8945475.

It is an interprime number because it is at equal distance from previous prime (57454937) and next prime (57455023).

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, 173415 + ... + 173745.

It is an arithmetic number, because the mean of its divisors is an integer number (1840608).

Almost surely, 257454980 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 57454980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88349184).

57454980 is an abundant number, since it is smaller than the sum of its proper divisors (119243388).

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

57454980 is a wasteful number, since it uses less digits than its factorization.

57454980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 57454980 is about 7579.9063318751. The cubic root of 57454980 is about 385.8713720342.

The spelling of 57454980 in words is "fifty-seven million, four hundred fifty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 263 330 331 526 660 662 789 993 1052 1315 1324 1578 1655 1986 2630 2893 3156 3310 3641 3945 3972 4965 5260 5786 6620 7282 7890 8679 9930 10923 11572 14465 14564 15780 17358 18205 19860 21846 28930 34716 36410 43395 43692 54615 57860 72820 86790 87053 109230 173580 174106 218460 261159 348212 435265 522318 870530 957583 1044636 1305795 1741060 1915166 2611590 2872749 3830332 4787915 5223180 5745498 9575830 11490996 14363745 19151660 28727490 57454980