Search a number
-
+
57472255440 = 24325431856339
BaseRepresentation
bin110101100001100111…
…010000010111010000
312111100100012002002100
4311201213100113100
51420200344133230
642222525520400
74103134053015
oct654147202720
9174310162070
1057472255440
1122412654176
12b17b413100
13555bb65552
142ad2c9d70c
151765896660
hexd619d05d0

57472255440 has 120 divisors (see below), whose sum is σ = 197499725280. Its totient is φ = 14969509632.

The previous prime is 57472255429. The next prime is 57472255441. The reversal of 57472255440 is 4455227475.

57472255440 is a `hidden beast` number, since 5 + 74 + 7 + 22 + 554 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57472255441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897210 + ... + 959129.

It is an arithmetic number, because the mean of its divisors is an integer number (1645831044).

Almost surely, 257472255440 is an apocalyptic number.

It is an amenable number.

57472255440 is an abundant number, since it is smaller than the sum of its proper divisors (140027469840).

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

57472255440 is a wasteful number, since it uses less digits than its factorization.

57472255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856401 (or 1856392 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 57472255440 in words is "fifty-seven billion, four hundred seventy-two million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 1856339 3712678 5569017 7425356 9281695 11138034 14850712 16707051 18563390 22276068 27845085 29701424 33414102 37126780 44552136 55690170 66828204 74253560 79822577 83535255 89104272 111380340 133656408 148507120 159645154 167070510 222760680 239467731 267312816 319290308 334141020 399112885 445521360 478935462 638580616 668282040 718403193 798225770 957870924 1197338655 1277161232 1336564080 1436806386 1596451540 1915741848 2394677310 2873612772 3192903080 3592015965 3831483696 4789354620 5747225544 6385806160 7184031930 9578709240 11494451088 14368063860 19157418480 28736127720 57472255440