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625062420 = 223452411601
BaseRepresentation
bin100101010000011…
…011001000010100
31121120011110110000
4211100123020110
52240003444140
6142005131300
721326641263
oct4520331024
91546143400
10625062420
112a0916714
121553b9b30
139c662328
145d02c5da
1539d1da30
hex2541b214

625062420 has 120 divisors (see below), whose sum is σ = 1970210088. Its totient is φ = 165888000.

The previous prime is 625062413. The next prime is 625062469. The reversal of 625062420 is 24260526.

It can be written as a sum of positive squares in 4 ways, for example, as 335109636 + 289952784 = 18306^2 + 17028^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389620 + ... + 391220.

Almost surely, 2625062420 is an apocalyptic number.

625062420 is a gapful number since it is divisible by the number (60) 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 625062420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985105044).

625062420 is an abundant number, since it is smaller than the sum of its proper divisors (1345147668).

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

625062420 is a wasteful number, since it uses less digits than its factorization.

625062420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 625062420 is about 25001.2483688315. The cubic root of 625062420 is about 855.0164355105.

The spelling of 625062420 in words is "six hundred twenty-five million, sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 241 270 324 405 482 540 723 810 964 1205 1446 1601 1620 2169 2410 2892 3202 3615 4338 4803 4820 6404 6507 7230 8005 8676 9606 10845 13014 14409 14460 16010 19212 19521 21690 24015 26028 28818 32020 32535 39042 43227 43380 48030 57636 65070 72045 78084 86454 96060 97605 129681 130140 144090 172908 195210 216135 259362 288180 385841 390420 432270 518724 648405 771682 864540 1157523 1296810 1543364 1929205 2315046 2593620 3472569 3858410 4630092 5787615 6945138 7716820 10417707 11575230 13890276 17362845 20835414 23150460 31253121 34725690 41670828 52088535 62506242 69451380 104177070 125012484 156265605 208354140 312531210 625062420