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57478014 = 23211432157
BaseRepresentation
bin1101101101000…
…0101101111110
311000011012000100
43123100231332
5104203244024
65411541530
71265361246
oct333205576
9130135010
1057478014
112a4990a0
12172ba8a6
13bba6079
1478c2b26
1550a57c9
hex36d0b7e

57478014 has 72 divisors (see below), whose sum is σ = 139975992. Its totient is φ = 16904160.

The previous prime is 57478009. The next prime is 57478019. The reversal of 57478014 is 41087475.

57478014 is a `hidden beast` number, since 574 + 7 + 80 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (57478009) and next prime (57478019).

It is a self number, because there is not a number n which added to its sum of digits gives 57478014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57478019) 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, 366024 + ... + 366180.

It is an arithmetic number, because the mean of its divisors is an integer number (1944111).

Almost surely, 257478014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57478014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69987996).

57478014 is an abundant number, since it is smaller than the sum of its proper divisors (82497978).

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

57478014 is a wasteful number, since it uses less digits than its factorization.

57478014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 57478014 is about 7581.4255915362. The cubic root of 57478014 is about 385.9229310907.

The spelling of 57478014 in words is "fifty-seven million, four hundred seventy-eight thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 157 198 258 314 387 471 473 774 942 946 1413 1419 1727 1849 2826 2838 3454 3698 4257 5181 5547 6751 8514 10362 11094 13502 15543 16641 20253 20339 31086 33282 40506 40678 60759 61017 74261 121518 122034 148522 183051 222783 290293 366102 445566 580586 668349 870879 1336698 1741758 2612637 3193223 5225274 6386446 9579669 19159338 28739007 57478014