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1146099552 = 253133172897
BaseRepresentation
bin100010001010000…
…0001011101100000
32221212120220000120
41010110001131200
54321400141202
6305420520240
740254454053
oct10424013540
92855526016
101146099552
11538a41614
1227b9b0080
131535a1920
14ac2dca9a
156a9400bc
hex44501760

1146099552 has 96 divisors (see below), whose sum is σ = 3251277792. Its totient is φ = 351412224.

The previous prime is 1146099509. The next prime is 1146099553. The reversal of 1146099552 is 2559906411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146099553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394168 + ... + 397064.

It is an arithmetic number, because the mean of its divisors is an integer number (33867477).

Almost surely, 21146099552 is an apocalyptic number.

1146099552 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 1146099552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625638896).

1146099552 is an abundant number, since it is smaller than the sum of its proper divisors (2105178240).

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

1146099552 is a wasteful number, since it uses less digits than its factorization.

1146099552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 1146099552 is about 33854.0921012512. The cubic root of 1146099552 is about 1046.5037307505.

The spelling of 1146099552 in words is "one billion, one hundred forty-six million, ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 317 416 624 634 951 1248 1268 1902 2536 2897 3804 4121 5072 5794 7608 8242 8691 10144 11588 12363 15216 16484 17382 23176 24726 30432 32968 34764 37661 46352 49452 65936 69528 75322 92704 98904 112983 131872 139056 150644 197808 225966 278112 301288 395616 451932 602576 903864 918349 1205152 1807728 1836698 2755047 3615456 3673396 5510094 7346792 11020188 11938537 14693584 22040376 23877074 29387168 35815611 44080752 47754148 71631222 88161504 95508296 143262444 191016592 286524888 382033184 573049776 1146099552