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54574740 = 223251143641
BaseRepresentation
bin1101000000101…
…1111010010100
310210200200110200
43100023322110
5102432342430
65225420500
71231610013
oct320137224
9123620420
1054574740
11288958a0
121633a730
13b3ca75c
147368a7a
154bd0460
hex340be94

54574740 has 144 divisors (see below), whose sum is σ = 185080896. Its totient is φ = 12902400.

The previous prime is 54574733. The next prime is 54574747. The reversal of 54574740 is 4747545.

54574740 = 9692 + 9702 + ... + 10232.

54574740 is a `hidden beast` number, since 545 + 74 + 7 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (54574733) and next prime (54574747).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54574695 and 54574704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54574747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84820 + ... + 85460.

It is an arithmetic number, because the mean of its divisors is an integer number (1285284).

Almost surely, 254574740 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 54574740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92540448).

54574740 is an abundant number, since it is smaller than the sum of its proper divisors (130506156).

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

54574740 is a wasteful number, since it uses less digits than its factorization.

54574740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 54574740 is about 7387.4718273574. The cubic root of 54574740 is about 379.3125613873.

The spelling of 54574740 in words is "fifty-four million, five hundred seventy-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 641 645 660 774 860 946 990 1282 1290 1419 1548 1892 1923 1935 1980 2365 2564 2580 2838 3205 3846 3870 4257 4730 5676 5769 6410 7051 7095 7692 7740 8514 9460 9615 11538 12820 14102 14190 17028 19230 21153 21285 23076 27563 28204 28380 28845 35255 38460 42306 42570 55126 57690 63459 70510 82689 84612 85140 105765 110252 115380 126918 137815 141020 165378 211530 248067 253836 275630 303193 317295 330756 413445 423060 496134 551260 606386 634590 826890 909579 992268 1212772 1240335 1269180 1515965 1653780 1819158 2480670 2728737 3031930 3638316 4547895 4961340 5457474 6063860 9095790 10914948 13643685 18191580 27287370 54574740