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55195400 = 23521322371
BaseRepresentation
bin1101001010001…
…1011100001000
310211212012212002
43102203130020
5103112223100
65251010132
71240103351
oct322433410
9124765762
1055195400
112917a137
1216599948
13b587100
14748ad28
154ca42d5
hex34a3708

55195400 has 144 divisors (see below), whose sum is σ = 147044160. Its totient is φ = 19219200.

The previous prime is 55195369. The next prime is 55195403. The reversal of 55195400 is 459155.

It is not an unprimeable number, because it can be changed into a prime (55195403) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 777365 + ... + 777435.

It is an arithmetic number, because the mean of its divisors is an integer number (1021140).

Almost surely, 255195400 is an apocalyptic number.

55195400 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 55195400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73522080).

55195400 is an abundant number, since it is smaller than the sum of its proper divisors (91848760).

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

55195400 is a wasteful number, since it uses less digits than its factorization.

55195400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 55195400 is about 7429.3606723594. The cubic root of 55195400 is about 380.7450755530.

The spelling of 55195400 in words is "fifty-five million, one hundred ninety-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 71 92 100 104 115 130 142 169 184 200 230 260 284 299 325 338 355 460 520 568 575 598 650 676 710 845 920 923 1150 1196 1300 1352 1420 1495 1633 1690 1775 1846 2300 2392 2600 2840 2990 3266 3380 3550 3692 3887 4225 4600 4615 5980 6532 6760 7100 7384 7475 7774 8165 8450 9230 11960 11999 13064 14200 14950 15548 16330 16900 18460 19435 21229 23075 23998 29900 31096 32660 33800 36920 38870 40825 42458 46150 47996 59800 59995 65320 77740 81650 84916 92300 95992 97175 106145 119990 155480 163300 169832 184600 194350 212290 239980 275977 299975 326600 388700 424580 479960 530725 551954 599950 777400 849160 1061450 1103908 1199900 1379885 2122900 2207816 2399800 2759770 4245800 5519540 6899425 11039080 13798850 27597700 55195400