Search a number
-
+
423753564 = 2231323891327
BaseRepresentation
bin11001010000011…
…111011101011100
31002112100220121110
4121100133131130
51331440103224
6110014302020
713333563063
oct3120373534
91075326543
10423753564
111a821a363
12b9ab7910
1369a3a370
14403c91da
1527306929
hex1941f75c

423753564 has 96 divisors (see below), whose sum is σ = 1124444160. Its totient is φ = 123222528.

The previous prime is 423753559. The next prime is 423753613. The reversal of 423753564 is 465357324.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318669 + ... + 319995.

It is an arithmetic number, because the mean of its divisors is an integer number (11712960).

Almost surely, 2423753564 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 423753564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562222080).

423753564 is an abundant number, since it is smaller than the sum of its proper divisors (700690596).

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

423753564 is a wasteful number, since it uses less digits than its factorization.

423753564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1457 counting only the distinct ones).

The product of its digits is 302400, while the sum is 39.

The square root of 423753564 is about 20585.2754171519. The cubic root of 423753564 is about 751.1115748324. Note that the first 3 decimals are identical.

The spelling of 423753564 in words is "four hundred twenty-three million, seven hundred fifty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 89 92 138 156 178 267 276 299 356 534 598 897 1068 1157 1196 1327 1794 2047 2314 2654 3471 3588 3981 4094 4628 5308 6141 6942 7962 8188 12282 13884 15924 17251 24564 26611 30521 34502 51753 53222 61042 69004 79833 91563 103506 106444 118103 122084 159666 183126 207012 236206 319332 354309 366252 396773 472412 708618 793546 1190319 1417236 1535339 1587092 2380638 2716369 3070678 4606017 4761276 5432738 6141356 8149107 9212034 10865476 16298214 18424068 32596428 35312797 70625594 105938391 141251188 211876782 423753564