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1082407408 = 241731137937
BaseRepresentation
bin100000010000100…
…0011100111110000
32210102201222211021
41000201003213300
54204044014113
6255223425224
735552211505
oct10041034760
92712658737
101082407408
11505a99785
122625b5214
13143331274
14a3a7d4ac
156505d48d
hex408439f0

1082407408 has 80 divisors (see below), whose sum is σ = 2311352064. Its totient is φ = 488816640.

The previous prime is 1082407351. The next prime is 1082407441. The reversal of 1082407408 is 8047042801.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1154716 + ... + 1155652.

Almost surely, 21082407408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082407408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155676032).

1082407408 is an abundant number, since it is smaller than the sum of its proper divisors (1228944656).

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

1082407408 is a wasteful number, since it uses less digits than its factorization.

1082407408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 1082407408 is about 32899.9606078792. The cubic root of 1082407408 is about 1026.7473374140.

The spelling of 1082407408 in words is "one billion, eighty-two million, four hundred seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 137 248 272 274 496 527 548 937 1054 1096 1874 2108 2192 2329 3748 4216 4247 4658 7496 8432 8494 9316 14992 15929 16988 18632 29047 31858 33976 37264 58094 63716 67952 72199 116188 127432 128369 144398 232376 254864 256738 288796 464752 493799 513476 577592 987598 1026952 1155184 1975196 2053904 2182273 3950392 3979439 4364546 7900784 7958878 8729092 15917756 17458184 31835512 34916368 63671024 67650463 135300926 270601852 541203704 1082407408