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53431290 = 232511311741
BaseRepresentation
bin1100101111010…
…0101111111010
310201112120221200
43023310233322
5102134300130
65145115030
71216105233
oct313645772
9121476850
1053431290
11281847a0
1215a88a76
13b0ba163
14714c08a
154a56760
hex32f4bfa

53431290 has 96 divisors (see below), whose sum is σ = 156529152. Its totient is φ = 12528000.

The previous prime is 53431247. The next prime is 53431297. The reversal of 53431290 is 9213435.

53431290 is a `hidden beast` number, since 534 + 3 + 129 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (53431297) by changing a digit.

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, 29820 + ... + 31560.

It is an arithmetic number, because the mean of its divisors is an integer number (1630512).

Almost surely, 253431290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53431290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78264576).

53431290 is an abundant number, since it is smaller than the sum of its proper divisors (103097862).

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

53431290 is a wasteful number, since it uses less digits than its factorization.

53431290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53431290 is about 7309.6709912280. The cubic root of 53431290 is about 376.6447224883.

The spelling of 53431290 in words is "fifty-three million, four hundred thirty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 990 1023 1395 1705 1741 2046 2790 3069 3410 3482 5115 5223 6138 8705 10230 10446 15345 15669 17410 19151 26115 30690 31338 38302 52230 53971 57453 78345 95755 107942 114906 156690 161913 172359 191510 269855 287265 323826 344718 485739 539710 574530 593681 809565 861795 971478 1187362 1619130 1723590 1781043 2428695 2968405 3562086 4857390 5343129 5936810 8905215 10686258 17810430 26715645 53431290