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55790700 = 22352731857
BaseRepresentation
bin1101010011010…
…0110001101100
310212222110110020
43110310301230
5103240300300
65311442140
71245133050
oct324646154
9125873406
1055790700
1129546419
1216826350
13b735064
1475a3c60
154d708a0
hex3534c6c

55790700 has 144 divisors (see below), whose sum is σ = 190654464. Its totient is φ = 12326400.

The previous prime is 55790677. The next prime is 55790723. The reversal of 55790700 is 709755.

55790700 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55790677) and next prime (55790723).

It is a super-2 number, since 2×557907002 = 6225204412980000, which contains 22 as substring.

55790700 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64672 + ... + 65528.

Almost surely, 255790700 is an apocalyptic number.

55790700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55790700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95327232).

55790700 is an abundant number, since it is smaller than the sum of its proper divisors (134863764).

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

55790700 is a wasteful number, since it uses less digits than its factorization.

55790700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 33.

The square root of 55790700 is about 7469.3172378739. The cubic root of 55790700 is about 382.1090028197.

The spelling of 55790700 in words is "fifty-five million, seven hundred ninety thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 857 868 930 1050 1085 1302 1550 1714 1860 2100 2170 2325 2571 2604 3100 3255 3428 4285 4340 4650 5142 5425 5999 6510 8570 9300 10284 10850 11998 12855 13020 16275 17140 17997 21425 21700 23996 25710 26567 29995 32550 35994 42850 51420 53134 59990 64275 65100 71988 79701 85700 89985 106268 119980 128550 132835 149975 159402 179970 185969 257100 265670 299950 318804 359940 371938 398505 449925 531340 557907 599900 664175 743876 797010 899850 929845 1115814 1328350 1594020 1799700 1859690 1992525 2231628 2656700 2789535 3719380 3985050 4649225 5579070 7970100 9298450 11158140 13947675 18596900 27895350 55790700