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425336832 = 21334641
BaseRepresentation
bin11001010110100…
…010000000000000
31002122100100110000
4121112202000000
51332341234312
6110112240000
713353206034
oct3126420000
91078310400
10425336832
111a9100948
12ba540000
136a172bcb
14406bc1c4
152751aadc
hex195a2000

425336832 has 140 divisors (see below), whose sum is σ = 1272664206. Its totient is φ = 141557760.

The previous prime is 425336827. The next prime is 425337001. The reversal of 425336832 is 238633524.

It is a happy number.

425336832 is a `hidden beast` number, since 42 + 533 + 6 + 83 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 279023616 + 146313216 = 16704^2 + 12096^2 .

It is a super-2 number, since 2×4253368322 = 361822841311592448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663232 + ... + 663872.

Almost surely, 2425336832 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 425336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636332103).

425336832 is an abundant number, since it is smaller than the sum of its proper divisors (847327374).

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

425336832 is an frugal number, since it uses more digits than its factorization.

425336832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 646 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 425336832 is about 20623.6958860433. The cubic root of 425336832 is about 752.0458701460.

The spelling of 425336832 in words is "four hundred twenty-five million, three hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 641 648 768 864 1024 1152 1282 1296 1536 1728 1923 2048 2304 2564 2592 3072 3456 3846 4096 4608 5128 5184 5769 6144 6912 7692 8192 9216 10256 10368 11538 12288 13824 15384 17307 18432 20512 20736 23076 24576 27648 30768 34614 36864 41024 41472 46152 51921 55296 61536 69228 73728 82048 82944 92304 103842 110592 123072 138456 164096 165888 184608 207684 221184 246144 276912 328192 331776 369216 415368 492288 553824 656384 663552 738432 830736 984576 1107648 1312768 1476864 1661472 1969152 2215296 2625536 2953728 3322944 3938304 4430592 5251072 5907456 6645888 7876608 8861184 11814912 13291776 15753216 17722368 23629824 26583552 35444736 47259648 53167104 70889472 106334208 141778944 212668416 425336832