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3966290440 = 235719877129
BaseRepresentation
bin1110110001101000…
…1100101000001000
3101020102021102121221
43230122030220020
531110332243230
61453323211424
7200200624660
oct35432145010
911212242557
103966290440
11175595a792
12928376b74
134b294b128
14298a9b1a0
1518331727a
hexec68ca08

3966290440 has 64 divisors (see below), whose sum is σ = 10205596800. Its totient is φ = 1358995968.

The previous prime is 3966290437. The next prime is 3966290543. The reversal of 3966290440 is 440926693.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552796 + ... + 559924.

It is an arithmetic number, because the mean of its divisors is an integer number (159462450).

Almost surely, 23966290440 is an apocalyptic number.

It is an amenable number.

3966290440 is an abundant number, since it is smaller than the sum of its proper divisors (6239306360).

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

3966290440 is a wasteful number, since it uses less digits than its factorization.

3966290440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 3966290440 is about 62978.4918841345. The cubic root of 3966290440 is about 1582.9292505546.

The spelling of 3966290440 in words is "three billion, nine hundred sixty-six million, two hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1987 3974 7129 7948 9935 13909 14258 15896 19870 27818 28516 35645 39740 49903 55636 57032 69545 71290 79480 99806 111272 139090 142580 199612 249515 278180 285160 399224 499030 556360 998060 1996120 14165323 28330646 56661292 70826615 99157261 113322584 141653230 198314522 283306460 396629044 495786305 566612920 793258088 991572610 1983145220 3966290440