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54634440 = 23357193337
BaseRepresentation
bin1101000001101…
…0011111001000
310210210201100210
43100122133020
5102441300230
65231001120
71232246040
oct320323710
9123721323
1054634440
1128926733
12163691a0
13b41b993
147382720
154be2eb0
hex341a7c8

54634440 has 128 divisors (see below), whose sum is σ = 188847360. Its totient is φ = 12386304.

The previous prime is 54634423. The next prime is 54634471. The reversal of 54634440 is 4443645.

It is a super-2 number, since 2×546344402 = 5969844068227200, which contains 22 as substring.

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 = 54634398 and 54634407.

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, 161952 + ... + 162288.

It is an arithmetic number, because the mean of its divisors is an integer number (1475370).

Almost surely, 254634440 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 54634440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94423680).

54634440 is an abundant number, since it is smaller than the sum of its proper divisors (134212920).

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

54634440 is a wasteful number, since it uses less digits than its factorization.

54634440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 547 counting only the distinct ones).

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

The square root of 54634440 is about 7391.5113474850. The cubic root of 54634440 is about 379.4508225909.

The spelling of 54634440 in words is "fifty-four million, six hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 193 210 280 337 386 420 579 674 772 840 965 1011 1158 1348 1351 1544 1685 1930 2022 2316 2359 2696 2702 2895 3370 3860 4044 4053 4632 4718 5055 5404 5790 6740 6755 7077 7720 8088 8106 9436 10110 10808 11580 11795 13480 13510 14154 16212 18872 20220 20265 23160 23590 27020 28308 32424 35385 40440 40530 47180 54040 56616 65041 70770 81060 94360 130082 141540 162120 195123 260164 283080 325205 390246 455287 520328 650410 780492 910574 975615 1300820 1365861 1560984 1821148 1951230 2276435 2601640 2731722 3642296 3902460 4552870 5463444 6829305 7804920 9105740 10926888 13658610 18211480 27317220 54634440