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55667430 = 23257213971
BaseRepresentation
bin1101010001011…
…0101011100110
310212202012100200
43110112223212
5103222324210
65305051330
71244110500
oct324265346
9125665320
1055667430
1129471845
1216786b46
13b6c0c10
147570d70
154d490c0
hex3516ae6

55667430 has 144 divisors (see below), whose sum is σ = 181503504. Its totient is φ = 11733120.

The previous prime is 55667407. The next prime is 55667431. The reversal of 55667430 is 3476655.

55667430 is a `hidden beast` number, since 556 + 6 + 74 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55667431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56845 + ... + 57815.

It is an arithmetic number, because the mean of its divisors is an integer number (1260441).

Almost surely, 255667430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55667430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90751752).

55667430 is an abundant number, since it is smaller than the sum of its proper divisors (125836074).

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

55667430 is a wasteful number, since it uses less digits than its factorization.

55667430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 55667430 is about 7461.0609165185. The cubic root of 55667430 is about 381.8273709910.

It can be divided in two parts, 5566 and 7430, that added together give a square (12996 = 1142).

The spelling of 55667430 in words is "fifty-five million, six hundred sixty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 971 1170 1274 1365 1470 1638 1911 1942 2205 2730 2913 3185 3822 4095 4410 4855 5733 5826 6370 6797 8190 8739 9555 9710 11466 12623 13594 14565 17478 19110 20391 25246 28665 29130 33985 37869 40782 43695 47579 57330 61173 63115 67970 75738 87390 88361 95158 101955 113607 122346 126230 142737 176722 189345 203910 227214 237895 265083 285474 305865 378690 428211 441805 475790 530166 568035 611730 618527 713685 795249 856422 883610 1136070 1237054 1325415 1427370 1590498 1855581 2141055 2650830 3092635 3711162 3976245 4282110 5566743 6185270 7952490 9277905 11133486 18555810 27833715 55667430