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2531430450 = 232527179231
BaseRepresentation
bin1001011011100010…
…1001000000110010
320112102022222202100
42112320221000302
520141021233300
61055105201230
7116505542463
oct22670510062
96472288670
102531430450
111089a2118a
125a7930216
133145b5553
141a02b2d6a
15ec388700
hex96e29032

2531430450 has 72 divisors (see below), whose sum is σ = 6896987136. Its totient is φ = 665532000.

The previous prime is 2531430427. The next prime is 2531430469. The reversal of 2531430450 is 540341352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7666 + ... + 71565.

It is an arithmetic number, because the mean of its divisors is an integer number (95791488).

Almost surely, 22531430450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531430450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448493568).

2531430450 is an abundant number, since it is smaller than the sum of its proper divisors (4365556686).

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

2531430450 is a wasteful number, since it uses less digits than its factorization.

2531430450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79320 (or 79312 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2531430450 is about 50313.3227883033. The cubic root of 2531430450 is about 1362.8728289816.

The spelling of 2531430450 in words is "two billion, five hundred thirty-one million, four hundred thirty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 142 150 213 225 355 426 450 639 710 1065 1278 1775 2130 3195 3550 5325 6390 10650 15975 31950 79231 158462 237693 396155 475386 713079 792310 1188465 1426158 1980775 2376930 3565395 3961550 5625401 5942325 7130790 11250802 11884650 16876203 17826975 28127005 33752406 35653950 50628609 56254010 84381015 101257218 140635025 168762030 253143045 281270050 421905075 506286090 843810150 1265715225 2531430450