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535244490 = 2335111710601
BaseRepresentation
bin11111111001110…
…010111011001010
31101022011020102000
4133321302323022
52044010310430
6125040051430
716156334364
oct3771627312
91338136360
10535244490
1125514a120
1212b303b76
1386b75221
145112bd34
1531ecae60
hex1fe72eca

535244490 has 128 divisors (see below), whose sum is σ = 1648823040. Its totient is φ = 122112000.

The previous prime is 535244461. The next prime is 535244491. The reversal of 535244490 is 94442535.

It is a happy number.

535244490 is a `hidden beast` number, since 5 + 3 + 524 + 44 + 90 = 666.

It is not an unprimeable number, because it can be changed into a prime (535244491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45190 + ... + 55790.

It is an arithmetic number, because the mean of its divisors is an integer number (12881430).

Almost surely, 2535244490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535244490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824411520).

535244490 is an abundant number, since it is smaller than the sum of its proper divisors (1113578550).

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

535244490 is a wasteful number, since it uses less digits than its factorization.

535244490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10645 (or 10639 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 535244490 is about 23135.3515209949. The cubic root of 535244490 is about 811.9277813986.

It can be divided in two parts, 535 and 244490, that added together give a square (245025 = 4952).

The spelling of 535244490 in words is "five hundred thirty-five million, two hundred forty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 918 935 990 1122 1485 1530 1683 1870 2295 2805 2970 3366 4590 5049 5610 8415 10098 10601 16830 21202 25245 31803 50490 53005 63606 95409 106010 116611 159015 180217 190818 233222 286227 318030 349833 360434 477045 540651 572454 583055 699666 901085 954090 1049499 1081302 1166110 1431135 1621953 1749165 1802170 1982387 2098998 2703255 2862270 3148497 3243906 3498330 3964774 4865859 5247495 5406510 5947161 6296994 8109765 9731718 9911935 10494990 11894322 15742485 16219530 17841483 19823870 24329295 29735805 31484970 35682966 48658590 53524449 59471610 89207415 107048898 178414830 267622245 535244490