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58172040 = 2333561883
BaseRepresentation
bin1101110111101…
…0001010001000
311001110110001000
43131322022020
5104343001130
65434455000
71304311533
oct335721210
9131413030
1058172040
112a922573
1217594460
13c089c34
147a23a1a
155191260
hex377a288

58172040 has 128 divisors (see below), whose sum is σ = 197308800. Its totient is φ = 15240960.

The previous prime is 58172039. The next prime is 58172063. The reversal of 58172040 is 4027185.

58172040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 58171995 and 58172013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65439 + ... + 66321.

It is an arithmetic number, because the mean of its divisors is an integer number (1541475).

Almost surely, 258172040 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 58172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654400).

58172040 is an abundant number, since it is smaller than the sum of its proper divisors (139136760).

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

58172040 is a wasteful number, since it uses less digits than its factorization.

58172040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 58172040 is about 7627.0597218063. The cubic root of 58172040 is about 387.4700136352.

The spelling of 58172040 in words is "fifty-eight million, one hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 90 108 120 122 135 180 183 216 244 270 305 360 366 488 540 549 610 732 883 915 1080 1098 1220 1464 1647 1766 1830 2196 2440 2649 2745 3294 3532 3660 4392 4415 5298 5490 6588 7064 7320 7947 8235 8830 10596 10980 13176 13245 15894 16470 17660 21192 21960 23841 26490 31788 32940 35320 39735 47682 52980 53863 63576 65880 79470 95364 105960 107726 119205 158940 161589 190728 215452 238410 269315 317880 323178 430904 476820 484767 538630 646356 807945 953640 969534 1077260 1292712 1454301 1615890 1939068 2154520 2423835 2908602 3231780 3878136 4847670 5817204 6463560 7271505 9695340 11634408 14543010 19390680 29086020 58172040