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423677952 = 212341277
BaseRepresentation
bin11001010000001…
…101000000000000
31002112020001220000
4121100031000000
51331430143302
6110012520000
713333126455
oct3120150000
91075201800
10423677952
111a8178575
12b9a80000
1369a11b19
14403a982c
15272de31c
hex1940d000

423677952 has 130 divisors (see below), whose sum is σ = 1266639858. Its totient is φ = 141115392.

The previous prime is 423677951. The next prime is 423677953. The reversal of 423677952 is 259776324.

It is an interprime number because it is at equal distance from previous prime (423677951) and next prime (423677953).

It can be written as a sum of positive squares in only one way, i.e., 383533056 + 40144896 = 19584^2 + 6336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 423677898 and 423677907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423677951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331138 + ... + 332414.

Almost surely, 2423677952 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 423677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633319929).

423677952 is an abundant number, since it is smaller than the sum of its proper divisors (842961906).

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

423677952 is an equidigital number, since it uses as much as digits as its factorization.

423677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1282 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 423677952 is about 20583.4387797569. The cubic root of 423677952 is about 751.0668975864.

It can be divided in two parts, 4 and 23677952, that added together give a square (23677956 = 48662).

The spelling of 423677952 in words is "four hundred twenty-three million, six hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1277 1296 1536 1728 2048 2304 2554 2592 3072 3456 3831 4096 4608 5108 5184 6144 6912 7662 9216 10216 10368 11493 12288 13824 15324 18432 20432 20736 22986 27648 30648 34479 36864 40864 41472 45972 55296 61296 68958 81728 82944 91944 103437 110592 122592 137916 163456 165888 183888 206874 245184 275832 326912 331776 367776 413748 490368 551664 653824 735552 827496 980736 1103328 1307648 1471104 1654992 1961472 2206656 2615296 2942208 3309984 3922944 4413312 5230592 5884416 6619968 7845888 8826624 11768832 13239936 15691776 17653248 23537664 26479872 35306496 47075328 52959744 70612992 105919488 141225984 211838976 423677952