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55295760 = 24351337479
BaseRepresentation
bin1101001011101…
…1111100010000
310212001022112010
43102323330100
5103123431020
65253102520
71241002062
oct322737420
9125038463
1055295760
1129238583
1216627a40
13b5c09b0
1474b5732
154cc3de0
hex34bbf10

55295760 has 160 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 13215744.

The previous prime is 55295753. The next prime is 55295767. The reversal of 55295760 is 6759255.

It is an interprime number because it is at equal distance from previous prime (55295753) and next prime (55295767).

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

It is not an unprimeable number, because it can be changed into a prime (55295767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115201 + ... + 115679.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 255295760 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 55295760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

55295760 is an abundant number, since it is smaller than the sum of its proper divisors (134692080).

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

55295760 is a wasteful number, since it uses less digits than its factorization.

55295760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 55295760 is about 7436.1118872701. Note that the first 3 decimals coincide. The cubic root of 55295760 is about 380.9757012906.

The spelling of 55295760 in words is "fifty-five million, two hundred ninety-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 104 111 120 130 148 156 185 195 208 222 240 260 296 312 370 390 444 479 481 520 555 592 624 740 780 888 958 962 1040 1110 1437 1443 1480 1560 1776 1916 1924 2220 2395 2405 2874 2886 2960 3120 3832 3848 4440 4790 4810 5748 5772 6227 7185 7215 7664 7696 8880 9580 9620 11496 11544 12454 14370 14430 17723 18681 19160 19240 22992 23088 24908 28740 28860 31135 35446 37362 38320 38480 49816 53169 57480 57720 62270 70892 74724 88615 93405 99632 106338 114960 115440 124540 141784 149448 177230 186810 212676 230399 249080 265845 283568 298896 354460 373620 425352 460798 498160 531690 691197 708920 747240 850704 921596 1063380 1151995 1382394 1417840 1494480 1843192 2126760 2303990 2764788 3455985 3686384 4253520 4607980 5529576 6911970 9215960 11059152 13823940 18431920 27647880 55295760