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54666640 = 2457314767
BaseRepresentation
bin1101000010001…
…0010110010000
310210212100112101
43100202112100
5102443313030
65231410144
71232441650
oct320422620
9123770471
1054666640
1128948946
1216383954
13b430532
147390360
154bec7ca
hex3422590

54666640 has 160 divisors (see below), whose sum is σ = 155418624. Its totient is φ = 17487360.

The previous prime is 54666617. The next prime is 54666641. The reversal of 54666640 is 4666645.

It is a self number, because there is not a number n which added to its sum of digits gives 54666640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54666641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815887 + ... + 815953.

Almost surely, 254666640 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 54666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77709312).

54666640 is an abundant number, since it is smaller than the sum of its proper divisors (100751984).

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

54666640 is a wasteful number, since it uses less digits than its factorization.

54666640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 54666640 is about 7393.6892009335. The cubic root of 54666640 is about 379.5253538261.

The spelling of 54666640 in words is "fifty-four million, six hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 47 56 62 67 70 80 94 112 124 134 140 155 188 217 235 248 268 280 310 329 335 376 434 469 470 496 536 560 620 658 670 752 868 938 940 1072 1085 1240 1316 1340 1457 1645 1736 1876 1880 2077 2170 2345 2480 2632 2680 2914 3149 3290 3472 3752 3760 4154 4340 4690 5264 5360 5828 6298 6580 7285 7504 8308 8680 9380 10199 10385 11656 12596 13160 14539 14570 15745 16616 17360 18760 20398 20770 22043 23312 25192 26320 29078 29140 31490 33232 37520 40796 41540 44086 50384 50995 58156 58280 62980 72695 81592 83080 88172 97619 101990 110215 116312 116560 125960 145390 163184 166160 176344 195238 203980 220430 232624 251920 290780 352688 390476 407960 440860 488095 581560 683333 780952 815920 881720 976190 1163120 1366666 1561904 1763440 1952380 2733332 3416665 3904760 5466664 6833330 7809520 10933328 13666660 27333320 54666640