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58002240 = 2635311949
BaseRepresentation
bin1101110101000…
…0101101000000
311001010211010010
43131100231000
5104322032430
65431104520
71303003512
oct335205500
9131124103
1058002240
112a816a3a
1217512140
13c02a86a
1479bbbb2
15515acb0
hex3750b40

58002240 has 112 divisors (see below), whose sum is σ = 190195200. Its totient is φ = 14960640.

The previous prime is 58002211. The next prime is 58002247. The reversal of 58002240 is 4220085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58002247) 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 15 ways as a sum of consecutive naturals, for example, 28786 + ... + 30734.

Almost surely, 258002240 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 58002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95097600).

58002240 is an abundant number, since it is smaller than the sum of its proper divisors (132192960).

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

58002240 is a wasteful number, since it uses less digits than its factorization.

58002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 58002240 is about 7615.9201676488. The cubic root of 58002240 is about 387.0926471961.

The spelling of 58002240 in words is "fifty-eight million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1949 1984 2480 2976 3720 3898 4960 5847 5952 7440 7796 9745 9920 11694 14880 15592 19490 23388 29235 29760 31184 38980 46776 58470 60419 62368 77960 93552 116940 120838 124736 155920 181257 187104 233880 241676 302095 311840 362514 374208 467760 483352 604190 623680 725028 906285 935520 966704 1208380 1450056 1812570 1871040 1933408 2416760 2900112 3625140 3866816 4833520 5800224 7250280 9667040 11600448 14500560 19334080 29001120 58002240