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533144040 = 2335111331069
BaseRepresentation
bin11111110001110…
…010000111101000
31101011012112010120
4133301302013220
52042441102130
6124523043240
716132435542
oct3761620750
91334175116
10533144040
11253a45010
1212a670520
13865bb160
1450b42692
1531c13910
hex1fc721e8

533144040 has 128 divisors (see below), whose sum is σ = 1879113600. Its totient is φ = 119301120.

The previous prime is 533144011. The next prime is 533144069. The reversal of 533144040 is 40441335.

It is an interprime number because it is at equal distance from previous prime (533144011) and next prime (533144069).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 533144040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1626 + ... + 32694.

It is an arithmetic number, because the mean of its divisors is an integer number (14680575).

Almost surely, 2533144040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939556800).

533144040 is an abundant number, since it is smaller than the sum of its proper divisors (1345969560).

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

533144040 is a wasteful number, since it uses less digits than its factorization.

533144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31107 (or 31103 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 533144040 is about 23089.9120829855. The cubic root of 533144040 is about 810.8643113658.

Adding to 533144040 its reverse (40441335), we get a palindrome (573585375).

The spelling of 533144040 in words is "five hundred thirty-three million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 31069 62138 93207 124276 155345 186414 248552 310690 341759 372828 403897 466035 621380 683518 745656 807794 932070 1025277 1211691 1242760 1367036 1615588 1708795 1864140 2019485 2050554 2423382 2734072 3231176 3417590 3728280 4038970 4101108 4442867 4846764 5126385 6058455 6835180 8077940 8202216 8885734 9693528 10252770 12116910 13328601 13670360 16155880 17771468 20505540 22214335 24233820 26657202 35542936 41011080 44428670 48467640 53314404 66643005 88857340 106628808 133286010 177714680 266572020 533144040