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58402944 = 273443131
BaseRepresentation
bin1101111011001…
…0100010000000
311001220011210000
43132302202000
5104422343234
65443440000
71306262655
oct336624200
9131804700
1058402944
112aa6aaa6
1217686000
13c13b072
147a83c2c
1551d9899
hex37b2880

58402944 has 160 divisors (see below), whose sum is σ = 179205840. Its totient is φ = 18869760.

The previous prime is 58402943. The next prime is 58402951. The reversal of 58402944 is 44920485.

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 = 58402899 and 58402908.

It is not an unprimeable number, because it can be changed into a prime (58402943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 445759 + ... + 445889.

Almost surely, 258402944 is an apocalyptic number.

58402944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89602920).

58402944 is an abundant number, since it is smaller than the sum of its proper divisors (120802896).

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

58402944 is a wasteful number, since it uses less digits than its factorization.

58402944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 58402944 is about 7642.1818873932. The cubic root of 58402944 is about 387.9820022119.

The spelling of 58402944 in words is "fifty-eight million, four hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 131 144 162 172 192 216 258 262 288 324 344 384 387 393 432 516 524 576 648 688 774 786 864 1032 1048 1152 1161 1179 1296 1376 1548 1572 1728 2064 2096 2322 2358 2592 2752 3096 3144 3456 3483 3537 4128 4192 4644 4716 5184 5504 5633 6192 6288 6966 7074 8256 8384 9288 9432 10368 10611 11266 12384 12576 13932 14148 16512 16768 16899 18576 18864 21222 22532 24768 25152 27864 28296 33798 37152 37728 42444 45064 49536 50304 50697 55728 56592 67596 74304 75456 84888 90128 101394 111456 113184 135192 148608 150912 152091 169776 180256 202788 222912 226368 270384 304182 339552 360512 405576 445824 452736 456273 540768 608364 679104 721024 811152 912546 1081536 1216728 1358208 1622304 1825092 2163072 2433456 3244608 3650184 4866912 6489216 7300368 9733824 14600736 19467648 29201472 58402944