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1045423632 = 2431147103409
BaseRepresentation
bin111110010011111…
…110011000010000
32200212011000121210
4332103332120100
54120112024012
6251423020120
734622645211
oct7623763020
92625130553
101045423632
11497129280
1225213a640
13138782586
149cbb3408
1561ba523c
hex3e4fe610

1045423632 has 160 divisors (see below), whose sum is σ = 3045519360. Its totient is φ = 306293760.

The previous prime is 1045423627. The next prime is 1045423651. The reversal of 1045423632 is 2363245401.

It is a self number, because there is not a number n which added to its sum of digits gives 1045423632.

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, 2555844 + ... + 2556252.

It is an arithmetic number, because the mean of its divisors is an integer number (19034496).

Almost surely, 21045423632 is an apocalyptic number.

1045423632 is a gapful number since it is divisible by the number (12) 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 1045423632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522759680).

1045423632 is an abundant number, since it is smaller than the sum of its proper divisors (2000095728).

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

1045423632 is a wasteful number, since it uses less digits than its factorization.

1045423632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 1045423632 is about 32333.0114898071. The cubic root of 1045423632 is about 1014.9175702106.

The spelling of 1045423632 in words is "one billion, forty-five million, four hundred twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 103 132 141 176 188 206 264 282 309 376 409 412 517 528 564 618 752 818 824 1034 1128 1133 1227 1236 1551 1636 1648 2068 2256 2266 2454 2472 3102 3272 3399 4136 4499 4532 4841 4908 4944 6204 6544 6798 8272 8998 9064 9682 9816 12408 13497 13596 14523 17996 18128 19223 19364 19632 24816 26994 27192 29046 35992 38446 38728 42127 53251 53988 54384 57669 58092 71984 76892 77456 84254 106502 107976 115338 116184 126381 153784 159753 168508 211453 213004 215952 230676 232368 252762 307568 319506 337016 422906 426008 461352 463397 505524 634359 639012 674032 845812 852016 922704 926794 1011048 1268718 1278024 1390191 1691624 1853588 1979969 2022096 2537436 2556048 2780382 3383248 3707176 3959938 5074872 5560764 5939907 7414352 7919876 10149744 11121528 11879814 15839752 21779659 22243056 23759628 31679504 43559318 47519256 65338977 87118636 95038512 130677954 174237272 261355908 348474544 522711816 1045423632