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425036976 = 243721313901
BaseRepresentation
bin11001010101011…
…000110010110000
31002121210010010020
4121111120302300
51332302140401
6110102003440
713350516600
oct3125306260
91077703106
10425036976
111a8a16631
12ba416580
136a099590
1440640c00
15274abd36
hex19558cb0

425036976 has 120 divisors (see below), whose sum is σ = 1375630704. Its totient is φ = 112089600.

The previous prime is 425036971. The next prime is 425036977. The reversal of 425036976 is 679630524.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (425036971) 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 23 ways as a sum of consecutive naturals, for example, 23626 + ... + 37526.

Almost surely, 2425036976 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 425036976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687815352).

425036976 is an abundant number, since it is smaller than the sum of its proper divisors (950593728).

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

425036976 is a wasteful number, since it uses less digits than its factorization.

425036976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13939 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 425036976 is about 20616.4249083104. The cubic root of 425036976 is about 751.8691016315.

The spelling of 425036976 in words is "four hundred twenty-five million, thirty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 13901 15288 27802 30576 41703 55604 83406 97307 111208 166812 180713 194614 222416 291921 333624 361426 389228 542139 583842 667248 681149 722852 778456 1084278 1167684 1264991 1362298 1445704 1556912 2043447 2168556 2335368 2529982 2724596 2891408 3794973 4086894 4337112 4670736 5059964 5449192 7589946 8173788 8674224 8854937 10119928 10898384 15179892 16347576 17709874 20239856 26564811 30359784 32695152 35419748 53129622 60719568 70839496 106259244 141678992 212518488 425036976