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57475000 = 235511219
BaseRepresentation
bin1101101100111…
…1111110111000
311000011000212201
43123033332320
5104203200000
65411515544
71265346412
oct333177670
9130130781
1057475000
112a496900
12172b8bb4
13bba489b
1478c19b2
1550a496a
hex36cffb8

57475000 has 144 divisors (see below), whose sum is σ = 155849400. Its totient is φ = 19800000.

The previous prime is 57474919. The next prime is 57475001. The reversal of 57475000 is 57475.

It is a self number, because there is not a number n which added to its sum of digits gives 57475000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57475001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3024991 + ... + 3025009.

Almost surely, 257475000 is an apocalyptic number.

57475000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57475000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77924700).

57475000 is an abundant number, since it is smaller than the sum of its proper divisors (98374400).

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

57475000 is a wasteful number, since it uses less digits than its factorization.

57475000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 57475000 is about 7581.2268136496. The cubic root of 57475000 is about 385.9161853691.

57475000 divided by its reverse (57475) gives a cube (1000 = 103).

The spelling of 57475000 in words is "fifty-seven million, four hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 121 125 152 190 200 209 220 242 250 275 380 418 440 475 484 500 550 605 625 760 836 950 968 1000 1045 1100 1210 1250 1375 1672 1900 2090 2200 2299 2375 2420 2500 2750 3025 3125 3800 4180 4598 4750 4840 5000 5225 5500 6050 6250 6875 8360 9196 9500 10450 11000 11495 11875 12100 12500 13750 15125 18392 19000 20900 22990 23750 24200 25000 26125 27500 30250 34375 41800 45980 47500 52250 55000 57475 59375 60500 68750 75625 91960 95000 104500 114950 118750 121000 130625 137500 151250 209000 229900 237500 261250 275000 287375 302500 378125 459800 475000 522500 574750 605000 653125 756250 1045000 1149500 1306250 1436875 1512500 2299000 2612500 2873750 3025000 5225000 5747500 7184375 11495000 14368750 28737500 57475000