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55216560 = 24357231429
BaseRepresentation
bin1101001010100…
…0100110110000
310211220021212210
43102220212300
5103113412220
65251252120
71240222140
oct322504660
9124807783
1055216560
1129194023
12165aa040
13b593929
147494920
154caa6e0
hex34a89b0

55216560 has 160 divisors (see below), whose sum is σ = 204272640. Its totient is φ = 12063744.

The previous prime is 55216559. The next prime is 55216591. The reversal of 55216560 is 6561255.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 37926 + ... + 39354.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 255216560 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 55216560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

55216560 is an abundant number, since it is smaller than the sum of its proper divisors (149056080).

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

55216560 is a wasteful number, since it uses less digits than its factorization.

55216560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 55216560 is about 7430.7846153687. The cubic root of 55216560 is about 380.7937241510.

The spelling of 55216560 in words is "fifty-five million, two hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1429 1610 1680 1840 1932 2415 2576 2760 2858 3220 3864 4287 4830 5520 5716 6440 7145 7728 8574 9660 10003 11432 12880 14290 17148 19320 20006 21435 22864 28580 30009 32867 34296 38640 40012 42870 50015 57160 60018 65734 68592 80024 85740 98601 100030 114320 120036 131468 150045 160048 164335 171480 197202 200060 230069 240072 262936 300090 328670 342960 394404 400120 460138 480144 493005 525872 600180 657340 690207 788808 800240 920276 986010 1150345 1200360 1314680 1380414 1577616 1840552 1972020 2300690 2400720 2629360 2760828 3451035 3681104 3944040 4601380 5521656 6902070 7888080 9202760 11043312 13804140 18405520 27608280 55216560