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54914860 = 225711132211
BaseRepresentation
bin1101000101111…
…0111100101100
310211022222000201
43101132330230
5103024233420
65241003244
71234524430
oct321367454
9124288021
1054914860
1128aa8390
1216483524
13b4b9500
1474169c0
154c4b10a
hex345ef2c

54914860 has 144 divisors (see below), whose sum is σ = 156425472. Its totient is φ = 15724800.

The previous prime is 54914843. The next prime is 54914891. The reversal of 54914860 is 6841945.

It is a happy 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, 260155 + ... + 260365.

It is an arithmetic number, because the mean of its divisors is an integer number (1086288).

Almost surely, 254914860 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 54914860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78212736).

54914860 is an abundant number, since it is smaller than the sum of its proper divisors (101510612).

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

54914860 is a wasteful number, since it uses less digits than its factorization.

54914860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 54914860 is about 7410.4561263123. The cubic root of 54914860 is about 380.0989123861.

The spelling of 54914860 in words is "fifty-four million, nine hundred fourteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 169 182 211 220 260 286 308 338 364 385 422 455 572 676 715 770 844 845 910 1001 1055 1183 1430 1477 1540 1690 1820 1859 2002 2110 2321 2366 2743 2860 2954 3380 3718 4004 4220 4642 4732 5005 5486 5908 5915 7385 7436 9284 9295 10010 10972 11605 11830 13013 13715 14770 16247 18590 19201 20020 23210 23660 26026 27430 29540 30173 32494 35659 37180 38402 46420 52052 54860 60346 64988 65065 71318 76804 81235 96005 120692 130130 142636 150865 162470 178295 192010 211211 249613 260260 301730 324940 356590 384020 392249 422422 499226 603460 713180 784498 844844 998452 1056055 1248065 1568996 1961245 2112110 2496130 2745743 3922490 4224220 4992260 5491486 7844980 10982972 13728715 27457430 54914860