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54912240 = 24325531439
BaseRepresentation
bin1101000101111…
…0010011110000
310211022211102200
43101132103300
5103024142430
65240543200
71234513665
oct321362360
9124284380
1054912240
1128aa6419
1216481b00
13b4b8266
147415a6c
154c4a460
hex345e4f0

54912240 has 120 divisors (see below), whose sum is σ = 188023680. Its totient is φ = 14356992.

The previous prime is 54912239. The next prime is 54912241. The reversal of 54912240 is 4221945.

54912240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54912239) and next prime (54912241).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54912241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37441 + ... + 38879.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 254912240 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 54912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94011840).

54912240 is an abundant number, since it is smaller than the sum of its proper divisors (133111440).

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

54912240 is a wasteful number, since it uses less digits than its factorization.

54912240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54912240 is about 7410.2793469612. The cubic root of 54912240 is about 380.0928674225.

The spelling of 54912240 in words is "fifty-four million, nine hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 424 477 530 636 720 795 848 954 1060 1272 1439 1590 1908 2120 2385 2544 2878 3180 3816 4240 4317 4770 5756 6360 7195 7632 8634 9540 11512 12720 12951 14390 17268 19080 21585 23024 25902 28780 34536 38160 43170 51804 57560 64755 69072 76267 86340 103608 115120 129510 152534 172680 207216 228801 259020 305068 345360 381335 457602 518040 610136 686403 762670 915204 1036080 1144005 1220272 1372806 1525340 1830408 2288010 2745612 3050680 3432015 3660816 4576020 5491224 6101360 6864030 9152040 10982448 13728060 18304080 27456120 54912240