Search a number
-
+
54820960 = 2552314897
BaseRepresentation
bin1101000100100…
…0000001100000
310211011012012221
43101020001200
5103013232320
65235000424
71233653605
oct321100140
9124135187
1054820960
1128a43887
1216439114
13b48584c
1473d06ac
154c2d3aa
hex3448060

54820960 has 48 divisors (see below), whose sum is σ = 135154656. Its totient is φ = 20973568.

The previous prime is 54820951. The next prime is 54820967. The reversal of 54820960 is 6902845.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54820967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3769 + ... + 11128.

It is an arithmetic number, because the mean of its divisors is an integer number (2815722).

Almost surely, 254820960 is an apocalyptic number.

It is an amenable number.

54820960 is an abundant number, since it is smaller than the sum of its proper divisors (80333696).

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

54820960 is a wasteful number, since it uses less digits than its factorization.

54820960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14935 (or 14927 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 54820960 is about 7404.1177732394. The cubic root of 54820960 is about 379.8821425822.

The spelling of 54820960 in words is "fifty-four million, eight hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 14897 29794 59588 74485 119176 148970 238352 297940 342631 476704 595880 685262 1191760 1370524 1713155 2383520 2741048 3426310 5482096 6852620 10964192 13705240 27410480 54820960