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390922741 = 11314127961
BaseRepresentation
bin10111010011010…
…000000111110101
31000020120221012001
4113103100013311
51300034011431
6102442455301
712454534306
oct2723200765
91006527161
10390922741
11190736050
12aab04531
1362cb3a41
1439cc07ad
15244bde61
hex174d01f5

390922741 has 16 divisors (see below), whose sum is σ = 450971136. Its totient is φ = 335520000.

The previous prime is 390922729. The next prime is 390922759. The reversal of 390922741 is 147229093.

390922741 is a nontrivial binomial coefficient, being equal to C(27962, 2).

It is a 4-Lehmer number, since φ(390922741) divides (390922741-1)4.

It is a cyclic number.

It is not a de Polignac number, because 390922741 - 215 = 390889973 is a prime.

It is a deceptive number, since it divides R390922740.

It is a self number, because there is not a number n which added to its sum of digits gives 390922741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390922841) 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, 1 + ... + 27961.

It is an arithmetic number, because the mean of its divisors is an integer number (28185696).

It is a Poulet number, since it divides 2390922740-1.

Almost surely, 2390922741 is an apocalyptic number.

390922741 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

390922741 is the 27961-st triangular number and also the 13981-st hexagonal number.

390922741 is the 9321-st centered nonagonal number.

It is an amenable number.

390922741 is a deficient number, since it is larger than the sum of its proper divisors (60048395).

390922741 is a wasteful number, since it uses less digits than its factorization.

390922741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28044.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 390922741 is about 19771.7662589866. The cubic root of 390922741 is about 731.1901153775.

The spelling of 390922741 in words is "three hundred ninety million, nine hundred twenty-two thousand, seven hundred forty-one".

Divisors: 1 11 31 41 341 451 1271 13981 27961 307571 866791 1146401 9534701 12610411 35538431 390922741