Search a number
-
+
54035605400 = 2352799738713
BaseRepresentation
bin110010010100110001…
…011110011110011000
312011110211112011111112
4302110301132132120
51341131103333100
640453522315452
73622024032110
oct622461363630
9164424464445
1054035605400
1120a09766127
12a5804b8b88
135131b7990a
1428886b2040
151613ceeb35
hexc94c5e798

54035605400 has 96 divisors (see below), whose sum is σ = 143728047840. Its totient is φ = 18507432960.

The previous prime is 54035605399. The next prime is 54035605447. The reversal of 54035605400 is 450653045.

54035605400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1376444 + ... + 1415156.

It is an arithmetic number, because the mean of its divisors is an integer number (1497167165).

Almost surely, 254035605400 is an apocalyptic number.

54035605400 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 54035605400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71864023920).

54035605400 is an abundant number, since it is smaller than the sum of its proper divisors (89692442440).

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

54035605400 is a wasteful number, since it uses less digits than its factorization.

54035605400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39733 (or 39724 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 54035605400 in words is "fifty-four billion, thirty-five million, six hundred five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 997 1400 1994 3988 4985 6979 7976 9970 13958 19940 24925 27916 34895 38713 39880 49850 55832 69790 77426 99700 139580 154852 174475 193565 199400 270991 279160 309704 348950 387130 541982 697900 774260 967825 1083964 1354955 1395800 1548520 1935650 2167928 2709910 3871300 5419820 6774775 7742600 10839640 13549550 27099100 38596861 54198200 77193722 154387444 192984305 270178027 308774888 385968610 540356054 771937220 964921525 1080712108 1350890135 1543874440 1929843050 2161424216 2701780270 3859686100 5403560540 6754450675 7719372200 10807121080 13508901350 27017802700 54035605400