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55692420 = 22357219997
BaseRepresentation
bin1101010001110…
…0110010000100
310212210110122020
43110130302010
5103224124140
65305403140
71244243400
oct324346204
9125713566
1055692420
11294895a3
12167994b0
13b6cc3c4
14757a100
154d516d0
hex351cc84

55692420 has 144 divisors (see below), whose sum is σ = 191136960. Its totient is φ = 12047616.

The previous prime is 55692379. The next prime is 55692443. The reversal of 55692420 is 2429655.

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 47 ways as a sum of consecutive naturals, for example, 55362 + ... + 56358.

It is an arithmetic number, because the mean of its divisors is an integer number (1327340).

Almost surely, 255692420 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 55692420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95568480).

55692420 is an abundant number, since it is smaller than the sum of its proper divisors (135444540).

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

55692420 is a wasteful number, since it uses less digits than its factorization.

55692420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 55692420 is about 7462.7354234222. The cubic root of 55692420 is about 381.8844985820.

The spelling of 55692420 in words is "fifty-five million, six hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 76 84 95 98 105 114 133 140 147 190 196 210 228 245 266 285 294 380 399 420 490 532 570 588 665 735 798 931 980 997 1140 1330 1470 1596 1862 1994 1995 2660 2793 2940 2991 3724 3988 3990 4655 4985 5586 5982 6979 7980 9310 9970 11172 11964 13958 13965 14955 18620 18943 19940 20937 27916 27930 29910 34895 37886 41874 48853 55860 56829 59820 69790 75772 83748 94715 97706 104685 113658 132601 139580 146559 189430 195412 209370 227316 244265 265202 284145 293118 378860 397803 418740 488530 530404 568290 586236 663005 732795 795606 928207 977060 1136580 1326010 1465590 1591212 1856414 1989015 2652020 2784621 2931180 3712828 3978030 4641035 5569242 7956060 9282070 11138484 13923105 18564140 27846210 55692420