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1149513552 = 243311221991
BaseRepresentation
bin100010010000100…
…0010111101010000
32222010000100011000
41010201002331100
54323233413202
6310022022000
740325463315
oct10441027520
92863010130
101149513552
1153a963600
12280b77900
131541c8845
14ac94ad0c
156adb691c
hex44842f50

1149513552 has 120 divisors (see below), whose sum is σ = 3626920640. Its totient is φ = 348321600.

The previous prime is 1149513529. The next prime is 1149513557. The reversal of 1149513552 is 2553159411.

It is a happy number.

1149513552 is a `hidden beast` number, since 1 + 1 + 4 + 95 + 13 + 552 = 666.

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 (1149513557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41277 + ... + 63267.

Almost surely, 21149513552 is an apocalyptic number.

1149513552 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 1149513552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813460320).

1149513552 is an abundant number, since it is smaller than the sum of its proper divisors (2477407088).

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

1149513552 is a wasteful number, since it uses less digits than its factorization.

1149513552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22030 (or 22007 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 1149513552 is about 33904.4768725312. The cubic root of 1149513552 is about 1047.5418087182.

The spelling of 1149513552 in words is "one billion, one hundred forty-nine million, five hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 4356 4752 5808 6534 8712 13068 17424 21991 26136 43982 52272 65973 87964 131946 175928 197919 241901 263892 351856 395838 483802 527784 593757 725703 791676 967604 1055568 1187514 1451406 1583352 1935208 2177109 2375028 2660911 2902812 3166704 3870416 4354218 4750056 5321822 5805624 6531327 7982733 8708436 9500112 10643644 11611248 13062654 15965466 17416872 21287288 23948199 26125308 31930932 34833744 42574576 47896398 52250616 63861864 71844597 95792796 104501232 127723728 143689194 191585592 287378388 383171184 574756776 1149513552