Search a number
-
+
54158240 = 2553161179
BaseRepresentation
bin1100111010011…
…0001110100000
310202220112010202
43032212032200
5102331030430
65212444332
71225223513
oct316461640
9122815122
1054158240
1128630984
12161796a8
13b2b2cc6
14729ad7a
154b4bd45
hex33a63a0

54158240 has 96 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 20505600.

The previous prime is 54158239. The next prime is 54158257. The reversal of 54158240 is 4285145.

It is a super-2 number, since 2×541582402 = 5866229919795200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302471 + ... + 302649.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 254158240 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 54158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

54158240 is an abundant number, since it is smaller than the sum of its proper divisors (80833120).

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

54158240 is a wasteful number, since it uses less digits than its factorization.

54158240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 54158240 is about 7359.2282204046. The cubic root of 54158240 is about 378.3451584514.

The spelling of 54158240 in words is "fifty-four million, one hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 61 62 80 122 124 155 160 179 244 248 305 310 358 488 496 610 620 716 895 976 992 1220 1240 1432 1790 1891 1952 2440 2480 2864 3580 3782 4880 4960 5549 5728 7160 7564 9455 9760 10919 11098 14320 15128 18910 21838 22196 27745 28640 30256 37820 43676 44392 54595 55490 60512 75640 87352 88784 109190 110980 151280 174704 177568 218380 221960 302560 338489 349408 436760 443920 676978 873520 887840 1353956 1692445 1747040 2707912 3384890 5415824 6769780 10831648 13539560 27079120 54158240