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425370400 = 25527135843
BaseRepresentation
bin11001010110101…
…010001100100000
31002122102001111021
4121112222030200
51332343323100
6110113055224
713353405640
oct3126521440
91078361437
10425370400
111a9124094
12ba557514
136a185280
14406ca520
1527525a1a
hex195aa320

425370400 has 144 divisors (see below), whose sum is σ = 1278293184. Its totient is φ = 134599680.

The previous prime is 425370397. The next prime is 425370467. The reversal of 425370400 is 4073524.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 69879 + ... + 75721.

It is an arithmetic number, because the mean of its divisors is an integer number (8877036).

Almost surely, 2425370400 is an apocalyptic number.

425370400 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 425370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639146592).

425370400 is an abundant number, since it is smaller than the sum of its proper divisors (852922784).

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

425370400 is a wasteful number, since it uses less digits than its factorization.

425370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 425370400 is about 20624.5096911418. The cubic root of 425370400 is about 752.0656536915.

The spelling of 425370400 in words is "four hundred twenty-five million, three hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 130 140 160 175 182 200 208 224 260 280 325 350 364 400 416 455 520 560 650 700 728 800 910 1040 1120 1300 1400 1456 1820 2080 2275 2600 2800 2912 3640 4550 5200 5600 5843 7280 9100 10400 11686 14560 18200 23372 29215 36400 40901 46744 58430 72800 75959 81802 93488 116860 146075 151918 163604 186976 204505 233720 292150 303836 327208 379795 409010 467440 531713 584300 607672 654416 759590 818020 934880 1022525 1063426 1168600 1215344 1308832 1519180 1636040 1898975 2045050 2126852 2337200 2430688 2658565 3038360 3272080 3797950 4090100 4253704 4674400 5317130 6076720 6544160 7595900 8180200 8507408 10634260 12153440 13292825 15191800 16360400 17014816 21268520 26585650 30383600 32720800 42537040 53171300 60767200 85074080 106342600 212685200 425370400