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1145005728 = 25347253769
BaseRepresentation
bin100010000111111…
…0110011010100000
32221210112022120120
41010033312122200
54321110140403
6305341240240
740242250056
oct10417663240
92853468516
101145005728
11538364829
1227b563080
131532aaaa9
14ac0d61d6
156a7c5e53
hex443f66a0

1145005728 has 48 divisors (see below), whose sum is σ = 3069601920. Its totient is φ = 373546496.

The previous prime is 1145005727. The next prime is 1145005747. The reversal of 1145005728 is 8275005411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11450057282 = 2622076234305619968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145005723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122373 + ... + 131396.

It is an arithmetic number, because the mean of its divisors is an integer number (63950040).

Almost surely, 21145005728 is an apocalyptic number.

It is an amenable number.

1145005728 is an abundant number, since it is smaller than the sum of its proper divisors (1924596192).

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

1145005728 is a wasteful number, since it uses less digits than its factorization.

1145005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253829 (or 253821 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 1145005728 is about 33837.9332702220. The cubic root of 1145005728 is about 1046.1707011436.

The spelling of 1145005728 in words is "one billion, one hundred forty-five million, five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 253769 507538 761307 1015076 1522614 2030152 3045228 4060304 6090456 8120608 11927143 12180912 23854286 24361824 35781429 47708572 71562858 95417144 143125716 190834288 286251432 381668576 572502864 1145005728