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1128355452 = 223277383739
BaseRepresentation
bin100001101000001…
…0101011001111100
32220122012101200200
41003100111121330
54302324333302
6303544323500
736650602020
oct10320253174
92818171620
101128355452
11529a22174
12275a73590
1314c9cb263
14a9c00380
15690d781c
hex4341567c

1128355452 has 144 divisors (see below), whose sum is σ = 3348683520. Its totient is φ = 313714944.

The previous prime is 1128355411. The next prime is 1128355457. The reversal of 1128355452 is 2545538211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128355457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1526499 + ... + 1527237.

Almost surely, 21128355452 is an apocalyptic number.

1128355452 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 1128355452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674341760).

1128355452 is an abundant number, since it is smaller than the sum of its proper divisors (2220328068).

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

1128355452 is a wasteful number, since it uses less digits than its factorization.

1128355452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 907 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 1128355452 is about 33591.0025453245. The cubic root of 1128355452 is about 1041.0749031858.

The spelling of 1128355452 in words is "one billion, one hundred twenty-eight million, three hundred fifty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 83 84 126 146 166 219 249 252 292 332 438 498 511 581 657 739 747 876 996 1022 1162 1314 1478 1494 1533 1743 2044 2217 2324 2628 2956 2988 3066 3486 4434 4599 5173 5229 6059 6132 6651 6972 8868 9198 10346 10458 12118 13302 15519 18177 18396 20692 20916 24236 26604 31038 36354 42413 46557 53947 54531 61337 62076 72708 84826 93114 107894 109062 122674 127239 161841 169652 184011 186228 215788 218124 245348 254478 323682 368022 377629 381717 429359 485523 508956 552033 647364 736044 755258 763434 858718 971046 1104066 1132887 1288077 1510516 1526868 1717436 1942092 2208132 2265774 2576154 3398661 3864231 4477601 4531548 5152308 6797322 7728462 8955202 13432803 13594644 15456924 17910404 26865606 31343207 40298409 53731212 62686414 80596818 94029621 125372828 161193636 188059242 282088863 376118484 564177726 1128355452