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54801780 = 223511431931
BaseRepresentation
bin1101000100001…
…1010101110100
310211010012220120
43101003111310
5103012124110
65234331540
71233543645
oct321032564
9124105816
1054801780
1128a30430
1216429bb0
13b479bb7
1473c76cc
154c27870
hex3443574

54801780 has 96 divisors (see below), whose sum is σ = 171376128. Its totient is φ = 12969600.

The previous prime is 54801767. The next prime is 54801787. The reversal of 54801780 is 8710845.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54801787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27415 + ... + 29345.

It is an arithmetic number, because the mean of its divisors is an integer number (1785168).

Almost surely, 254801780 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 54801780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85688064).

54801780 is an abundant number, since it is smaller than the sum of its proper divisors (116574348).

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

54801780 is a wasteful number, since it uses less digits than its factorization.

54801780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 54801780 is about 7402.8224347204. The cubic root of 54801780 is about 379.8378347762.

It can be divided in two parts, 5480 and 1780, that added together give a triangular number (7260 = T120).

The spelling of 54801780 in words is "fifty-four million, eight hundred one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 1931 2365 2580 2838 3862 4730 5676 5793 7095 7724 9460 9655 11586 14190 19310 21241 23172 28380 28965 38620 42482 57930 63723 83033 84964 106205 115860 127446 166066 212410 249099 254892 318615 332132 415165 424820 498198 637230 830330 913363 996396 1245495 1274460 1660660 1826726 2490990 2740089 3653452 4566815 4981980 5480178 9133630 10960356 13700445 18267260 27400890 54801780