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424525400 = 235213672437
BaseRepresentation
bin11001010011011…
…011111001011000
31002120211010100222
4121103123321120
51332134303100
6110043015212
713343256245
oct3123337130
91076733328
10424525400
111a86a7242
12ba20a508
1369c4a780
144054a5cc
152740a485
hex194dbe58

424525400 has 96 divisors (see below), whose sum is σ = 1079253840. Its totient is φ = 154344960.

The previous prime is 424525373. The next prime is 424525427. The reversal of 424525400 is 4525424.

It is an interprime number because it is at equal distance from previous prime (424525373) and next prime (424525427).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 424525400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172982 + ... + 175418.

Almost surely, 2424525400 is an apocalyptic number.

424525400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539626920).

424525400 is an abundant number, since it is smaller than the sum of its proper divisors (654728440).

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

424525400 is a wasteful number, since it uses less digits than its factorization.

424525400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 424525400 is about 20604.0141720006. The cubic root of 424525400 is about 751.5673297624.

The spelling of 424525400 in words is "four hundred twenty-four million, five hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 67 100 104 130 134 200 260 268 325 335 520 536 650 670 871 1300 1340 1675 1742 2437 2600 2680 3350 3484 4355 4874 6700 6968 8710 9748 12185 13400 17420 19496 21775 24370 31681 34840 43550 48740 60925 63362 87100 97480 121850 126724 158405 163279 174200 243700 253448 316810 326558 487400 633620 653116 792025 816395 1267240 1306232 1584050 1632790 2122627 3168100 3265580 4081975 4245254 6336200 6531160 8163950 8490508 10613135 16327900 16981016 21226270 32655800 42452540 53065675 84905080 106131350 212262700 424525400