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1149945408 = 26322637591
BaseRepresentation
bin100010010001010…
…1100011001000000
32222010211021112200
41010202230121000
54323341223113
6310035153200
740332242343
oct10442543100
92863737480
101149945408
11540129007
12281145800
1315431a291
14aca2045a
156ae4e873
hex448ac640

1149945408 has 84 divisors (see below), whose sum is σ = 3309079488. Its totient is φ = 381807360.

The previous prime is 1149945397. The next prime is 1149945427. The reversal of 1149945408 is 8045499411.

It is a happy number.

1149945408 is a `hidden beast` number, since 1 + 14 + 9 + 94 + 540 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147693 + ... + 155283.

Almost surely, 21149945408 is an apocalyptic number.

1149945408 is a gapful number since it is divisible by the number (18) 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 1149945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654539744).

1149945408 is an abundant number, since it is smaller than the sum of its proper divisors (2159134080).

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

1149945408 is a wasteful number, since it uses less digits than its factorization.

1149945408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7872 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1149945408 is about 33910.8449909465. The cubic root of 1149945408 is about 1047.6729745128.

The spelling of 1149945408 in words is "one billion, one hundred forty-nine million, nine hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 263 288 526 576 789 1052 1578 2104 2367 3156 4208 4734 6312 7591 8416 9468 12624 15182 16832 18936 22773 25248 30364 37872 45546 50496 60728 68319 75744 91092 121456 136638 151488 182184 242912 273276 364368 485824 546552 728736 1093104 1457472 1996433 2186208 3992866 4372416 5989299 7985732 11978598 15971464 17967897 23957196 31942928 35935794 47914392 63885856 71871588 95828784 127771712 143743176 191657568 287486352 383315136 574972704 1149945408