Search a number
-
+
54888480 = 2532547811
BaseRepresentation
bin1101000101100…
…0100000100000
310211021121211200
43101120200200
5103022412410
65240241200
71234354503
oct321304040
9124247750
1054888480
1128a8a589
1216470200
13b4aa4ba
14740b13a
154c433c0
hex3458820

54888480 has 144 divisors (see below), whose sum is σ = 191528064. Its totient is φ = 14307840.

The previous prime is 54888469. The next prime is 54888487. The reversal of 54888480 is 8488845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54888487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67275 + ... + 68085.

It is an arithmetic number, because the mean of its divisors is an integer number (1330056).

Almost surely, 254888480 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 54888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95764032).

54888480 is an abundant number, since it is smaller than the sum of its proper divisors (136639584).

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

54888480 is a wasteful number, since it uses less digits than its factorization.

54888480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 54888480 is about 7408.6759950750. The cubic root of 54888480 is about 380.0380386667.

The spelling of 54888480 in words is "fifty-four million, eight hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 811 846 940 1128 1410 1440 1504 1622 1692 1880 2115 2256 2433 2820 3244 3384 3760 4055 4230 4512 4866 5640 6488 6768 7299 7520 8110 8460 9732 11280 12165 12976 13536 14598 16220 16920 19464 22560 24330 25952 29196 32440 33840 36495 38117 38928 48660 58392 64880 67680 72990 76234 77856 97320 114351 116784 129760 145980 152468 190585 194640 228702 233568 291960 304936 343053 381170 389280 457404 571755 583920 609872 686106 762340 914808 1143510 1167840 1219744 1372212 1524680 1715265 1829616 2287020 2744424 3049360 3430530 3659232 4574040 5488848 6098720 6861060 9148080 10977696 13722120 18296160 27444240 54888480