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427772631 = 311213219367
BaseRepresentation
bin11001011111110…
…100101011010111
31002210221002201210
4121133310223113
51334002211011
6110240352503
713413002346
oct3137645327
91083832653
10427772631
111aa514a00
12bb315733
136a816800
1440b53b5d
152784c6a6
hex197f4ad7

427772631 has 72 divisors (see below), whose sum is σ = 716540160. Its totient is φ = 226100160.

The previous prime is 427772629. The next prime is 427772633. The reversal of 427772631 is 136277724.

It is an interprime number because it is at equal distance from previous prime (427772629) and next prime (427772633).

It is not a de Polignac number, because 427772631 - 21 = 427772629 is a prime.

It is a super-2 number, since 2×4277726312 = 365978847665324322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 427772631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427772633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1165410 + ... + 1165776.

Almost surely, 2427772631 is an apocalyptic number.

427772631 is a deficient number, since it is larger than the sum of its proper divisors (288767529).

427772631 is a wasteful number, since it uses less digits than its factorization.

427772631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 413 counting only the distinct ones).

The product of its digits is 98784, while the sum is 39.

The square root of 427772631 is about 20682.6649878588. The cubic root of 427772631 is about 753.4787320617.

The spelling of 427772631 in words is "four hundred twenty-seven million, seven hundred seventy-two thousand, six hundred thirty-one".

Divisors: 1 3 11 13 19 33 39 57 121 143 169 209 247 363 367 429 507 627 741 1101 1573 1859 2299 2717 3211 4037 4719 4771 5577 6897 6973 8151 9633 12111 14313 20449 20919 29887 35321 44407 52481 61347 62023 76703 89661 90649 105963 133221 157443 186069 230109 271947 388531 577291 682253 843733 997139 1165593 1178437 1731873 2046759 2531199 2991417 3535311 7504783 10968529 12962807 22514349 32905587 38888421 142590877 427772631