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53141490 = 23251747739
BaseRepresentation
bin1100101010110…
…1111111110010
310200222212102100
43022231333302
5102101011430
65135001230
71213460313
oct312557762
9120885370
1053141490
1127aa6a96
1215969216
13b01828c
1470b460a
1549ea960
hex32adff2

53141490 has 96 divisors (see below), whose sum is σ = 149610240. Its totient is φ = 13036032.

The previous prime is 53141489. The next prime is 53141513. The reversal of 53141490 is 9414135.

53141490 is a `hidden beast` number, since 531 + 41 + 4 + 90 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71541 + ... + 72279.

It is an arithmetic number, because the mean of its divisors is an integer number (1558440).

Almost surely, 253141490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53141490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74805120).

53141490 is an abundant number, since it is smaller than the sum of its proper divisors (96468750).

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

53141490 is a wasteful number, since it uses less digits than its factorization.

53141490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 53141490 is about 7289.8209854564. The cubic root of 53141490 is about 375.9625405944.

The spelling of 53141490 in words is "fifty-three million, one hundred forty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 47 51 85 90 94 102 141 153 170 235 255 282 306 423 470 510 705 739 765 799 846 1410 1478 1530 1598 2115 2217 2397 3695 3995 4230 4434 4794 6651 7191 7390 7990 11085 11985 12563 13302 14382 22170 23970 25126 33255 34733 35955 37689 62815 66510 69466 71910 75378 104199 113067 125630 173665 188445 208398 226134 312597 347330 376890 520995 565335 590461 625194 1041990 1130670 1180922 1562985 1771383 2952305 3125970 3542766 5314149 5904610 8856915 10628298 17713830 26570745 53141490