Search a number
-
+
55542080 = 2651131509
BaseRepresentation
bin1101001111100…
…0000101000000
310212111211102002
43103320011000
5103204321310
65302243132
71243046156
oct323700500
9125454362
1055542080
1129396650
12167264a8
13b678b49
14753b3d6
154d21da5
hex34f8140

55542080 has 112 divisors (see below), whose sum is σ = 149230080. Its totient is φ = 19507200.

The previous prime is 55542061. The next prime is 55542083. The reversal of 55542080 is 8024555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55542083) 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, 108866 + ... + 109374.

Almost surely, 255542080 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 55542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74615040).

55542080 is an abundant number, since it is smaller than the sum of its proper divisors (93688000).

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

55542080 is a wasteful number, since it uses less digits than its factorization.

55542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 55542080 is about 7452.6559024283. The cubic root of 55542080 is about 381.5405603689.

The spelling of 55542080 in words is "fifty-five million, five hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 155 160 176 220 248 310 320 341 352 440 496 509 620 682 704 880 992 1018 1240 1364 1705 1760 1984 2036 2480 2545 2728 3410 3520 4072 4960 5090 5456 5599 6820 8144 9920 10180 10912 11198 13640 15779 16288 20360 21824 22396 27280 27995 31558 32576 40720 44792 54560 55990 63116 78895 81440 89584 109120 111980 126232 157790 162880 173569 179168 223960 252464 315580 347138 358336 447920 504928 631160 694276 867845 895840 1009856 1262320 1388552 1735690 1791680 2524640 2777104 3471380 5049280 5554208 6942760 11108416 13885520 27771040 55542080