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54604640 = 25531101109
BaseRepresentation
bin1101000001001…
…1001101100000
310210202012111002
43100103031200
5102434322030
65230211132
71232063126
oct320231540
9123665432
1054604640
1128906302
1216353aa8
13b40b24c
147375916
154bd9245
hex3413360

54604640 has 96 divisors (see below), whose sum is σ = 135717120. Its totient is φ = 20736000.

The previous prime is 54604631. The next prime is 54604643. The reversal of 54604640 is 4640645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54604643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500906 + ... + 501014.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 254604640 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 54604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67858560).

54604640 is an abundant number, since it is smaller than the sum of its proper divisors (81112480).

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

54604640 is a wasteful number, since it uses less digits than its factorization.

54604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 54604640 is about 7389.4952466322. The cubic root of 54604640 is about 379.3818203826.

The spelling of 54604640 in words is "fifty-four million, six hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 101 109 124 155 160 202 218 248 310 404 436 496 505 545 620 808 872 992 1010 1090 1240 1616 1744 2020 2180 2480 3131 3232 3379 3488 4040 4360 4960 6262 6758 8080 8720 11009 12524 13516 15655 16160 16895 17440 22018 25048 27032 31310 33790 44036 50096 54064 55045 62620 67580 88072 100192 108128 110090 125240 135160 176144 220180 250480 270320 341279 352288 440360 500960 540640 682558 880720 1365116 1706395 1761440 2730232 3412790 5460464 6825580 10920928 13651160 27302320 54604640