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54459990 = 23251389523
BaseRepresentation
bin1100111110111…
…1111001010110
310210110212001200
43033233321112
5102420204430
65223133330
71230621324
oct317577126
9123425050
1054459990
1128817662
12162a4246
13b38a460
147338d14
154bab460
hex33efe56

54459990 has 96 divisors (see below), whose sum is σ = 154496160. Its totient is φ = 13229568.

The previous prime is 54459961. The next prime is 54460019. The reversal of 54459990 is 9995445.

54459990 is a `hidden beast` number, since 54 + 4 + 599 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54459961) and next prime (54460019).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103869 + ... + 104391.

It is an arithmetic number, because the mean of its divisors is an integer number (1609335).

Almost surely, 254459990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54459990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77248080).

54459990 is an abundant number, since it is smaller than the sum of its proper divisors (100036170).

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

54459990 is a wasteful number, since it uses less digits than its factorization.

54459990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 54459990 is about 7379.7012134639. The cubic root of 54459990 is about 379.0465246432.

The spelling of 54459990 in words is "fifty-four million, four hundred fifty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 89 90 117 130 178 195 234 267 390 445 523 534 585 801 890 1046 1157 1170 1335 1569 1602 2314 2615 2670 3138 3471 4005 4707 5230 5785 6799 6942 7845 8010 9414 10413 11570 13598 15690 17355 20397 20826 23535 33995 34710 40794 46547 47070 52065 61191 67990 93094 101985 104130 122382 139641 203970 232735 279282 305955 418923 465470 605111 611910 698205 837846 1210222 1396410 1815333 2094615 3025555 3630666 4189230 5445999 6051110 9076665 10891998 18153330 27229995 54459990