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425355320 = 235134171281
BaseRepresentation
bin11001010110100…
…110100000111000
31002122101021210202
4121112212200320
51332342332240
6110112501332
713353313655
oct3126464070
91078337722
10425355320
111a9113825
12ba54a848
136a17b450
14406c4c2c
1527521315
hex195a6838

425355320 has 128 divisors (see below), whose sum is σ = 1074487680. Its totient is φ = 150528000.

The previous prime is 425355319. The next prime is 425355323. The reversal of 425355320 is 23553524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425355323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1513580 + ... + 1513860.

It is an arithmetic number, because the mean of its divisors is an integer number (8394435).

Almost surely, 2425355320 is an apocalyptic number.

425355320 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 425355320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537243840).

425355320 is an abundant number, since it is smaller than the sum of its proper divisors (649132360).

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

425355320 is a wasteful number, since it uses less digits than its factorization.

425355320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The square root of 425355320 is about 20624.1441034531. The cubic root of 425355320 is about 752.0567663123.

The spelling of 425355320 in words is "four hundred twenty-five million, three hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 71 82 104 130 142 164 205 260 281 284 328 355 410 520 533 562 568 710 820 923 1066 1124 1405 1420 1640 1846 2132 2248 2665 2810 2840 2911 3653 3692 4264 4615 5330 5620 5822 7306 7384 9230 10660 11240 11521 11644 14555 14612 18265 18460 19951 21320 23042 23288 29110 29224 36530 36920 37843 39902 46084 57605 58220 73060 75686 79804 92168 99755 115210 116440 146120 149773 151372 159608 189215 199510 230420 259363 299546 302744 378430 399020 460840 518726 599092 748865 756860 798040 817991 1037452 1198184 1296815 1497730 1513720 1635982 2074904 2593630 2995460 3271964 4089955 5187260 5990920 6543928 8179910 10374520 10633883 16359820 21267766 32719640 42535532 53169415 85071064 106338830 212677660 425355320