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530251008 = 2837531861
BaseRepresentation
bin11111100110101…
…111110100000000
31100221202112122020
4133212233310000
52041221013013
6124341041440
716066026210
oct3746576400
91327675566
10530251008
11252349481
121296b6280
1385b173c1
14505cc240
1531841623
hex1f9afd00

530251008 has 144 divisors (see below), whose sum is σ = 1644160896. Its totient is φ = 148561920.

The previous prime is 530251003. The next prime is 530251009. The reversal of 530251008 is 800152035.

It is a super-2 number, since 2×5302510082 = 562332262970032128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530251003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283998 + ... + 285858.

It is an arithmetic number, because the mean of its divisors is an integer number (11417784).

Almost surely, 2530251008 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 530251008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822080448).

530251008 is an abundant number, since it is smaller than the sum of its proper divisors (1113909888).

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

530251008 is a wasteful number, since it uses less digits than its factorization.

530251008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 530251008 is about 23027.1797665281. The cubic root of 530251008 is about 809.3949696141.

The spelling of 530251008 in words is "five hundred thirty million, two hundred fifty-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 318 336 371 384 424 448 636 672 742 768 848 896 1113 1272 1344 1484 1696 1792 1861 2226 2544 2688 2968 3392 3722 4452 5088 5376 5583 5936 6784 7444 8904 10176 11166 11872 13027 13568 14888 17808 20352 22332 23744 26054 29776 35616 39081 40704 44664 47488 52108 59552 71232 78162 89328 94976 98633 104216 119104 142464 156324 178656 197266 208432 238208 284928 295899 312648 357312 394532 416864 476416 591798 625296 690431 714624 789064 833728 1183596 1250592 1380862 1429248 1578128 1667456 2071293 2367192 2501184 2761724 3156256 3334912 4142586 4734384 5002368 5523448 6312512 8285172 9468768 10004736 11046896 12625024 16570344 18937536 22093792 25250048 33140688 37875072 44187584 66281376 75750144 88375168 132562752 176750336 265125504 530251008