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54643440 = 24351759227
BaseRepresentation
bin1101000001110…
…0101011110000
310210211011201010
43100130223300
5102442042230
65231110520
71232314215
oct320345360
9123734633
1054643440
1128932475
1216372440
13b422ac7
147385b0c
154be59b0
hex341caf0

54643440 has 160 divisors (see below), whose sum is σ = 183202560. Its totient is φ = 13422592.

The previous prime is 54643439. The next prime is 54643451. The reversal of 54643440 is 4434645.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54643398 and 54643407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240607 + ... + 240833.

It is an arithmetic number, because the mean of its divisors is an integer number (1145016).

Almost surely, 254643440 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 54643440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91601280).

54643440 is an abundant number, since it is smaller than the sum of its proper divisors (128559120).

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

54643440 is a wasteful number, since it uses less digits than its factorization.

54643440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 54643440 is about 7392.1201288940. The cubic root of 54643440 is about 379.4716572506.

The spelling of 54643440 in words is "fifty-four million, six hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 59 60 68 80 85 102 118 120 136 170 177 204 227 236 240 255 272 295 340 354 408 454 472 510 590 680 681 708 816 885 908 944 1003 1020 1135 1180 1360 1362 1416 1770 1816 2006 2040 2270 2360 2724 2832 3009 3405 3540 3632 3859 4012 4080 4540 4720 5015 5448 6018 6810 7080 7718 8024 9080 10030 10896 11577 12036 13393 13620 14160 15045 15436 16048 18160 19295 20060 23154 24072 26786 27240 30090 30872 38590 40120 40179 46308 48144 53572 54480 57885 60180 61744 66965 77180 80240 80358 92616 107144 115770 120360 133930 154360 160716 185232 200895 214288 227681 231540 240720 267860 308720 321432 401790 455362 463080 535720 642864 683043 803580 910724 926160 1071440 1138405 1366086 1607160 1821448 2276810 2732172 3214320 3415215 3642896 4553620 5464344 6830430 9107240 10928688 13660860 18214480 27321720 54643440