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1149484032 = 21032373371
BaseRepresentation
bin100010010000011…
…1011110000000000
32222002221211122200
41010200323300000
54323231442112
6310021233200
740325311254
oct10440736000
92862854580
101149484032
1153a943404
12280b62800
131541b8288
14ac940264
156adaccdc
hex4483bc00

1149484032 has 132 divisors (see below), whose sum is σ = 3409827096. Its totient is φ = 372695040.

The previous prime is 1149484013. The next prime is 1149484033. The reversal of 1149484032 is 2304849411.

It is a happy number.

1149484032 is a `hidden beast` number, since 1 + 149 + 484 + 0 + 32 = 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 (1149484033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339307 + ... + 342677.

Almost surely, 21149484032 is an apocalyptic number.

1149484032 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 1149484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704913548).

1149484032 is an abundant number, since it is smaller than the sum of its proper divisors (2260343064).

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

1149484032 is a wasteful number, since it uses less digits than its factorization.

1149484032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1149484032 is about 33904.0415289977. The cubic root of 1149484032 is about 1047.5328415341.

The spelling of 1149484032 in words is "one billion, one hundred forty-nine million, four hundred eighty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2304 2368 2664 3072 3371 3552 4608 4736 5328 6742 7104 9216 9472 10113 10656 13484 14208 18944 20226 21312 26968 28416 30339 37888 40452 42624 53936 56832 60678 80904 85248 107872 113664 121356 124727 161808 170496 215744 242712 249454 323616 340992 374181 431488 485424 498908 647232 748362 862976 970848 997816 1122543 1294464 1496724 1725952 1941696 1995632 2245086 2588928 2993448 3451904 3883392 3991264 4490172 5177856 5986896 7766784 7982528 8980344 10355712 11973792 15533568 15965056 17960688 23947584 31067136 31930112 35921376 47895168 63860224 71842752 95790336 127720448 143685504 191580672 287371008 383161344 574742016 1149484032