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925124320 = 2553137712
BaseRepresentation
bin110111001001000…
…100011011100000
32101110210011222201
4313021010123200
53343312434240
6231444342544
731632266311
oct6711043340
92343704881
10925124320
1143523265a
122199a4a54
13119882353
148ac1a608
1556340d9a
hex372446e0

925124320 has 144 divisors (see below), whose sum is σ = 2350180224. Its totient is φ = 343526400.

The previous prime is 925124293. The next prime is 925124341. The reversal of 925124320 is 23421529.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13029885 + ... + 13029955.

It is an arithmetic number, because the mean of its divisors is an integer number (16320696).

Almost surely, 2925124320 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 925124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175090112).

925124320 is an abundant number, since it is smaller than the sum of its proper divisors (1425055904).

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

925124320 is a wasteful number, since it uses less digits than its factorization.

925124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 925124320 is about 30415.8563910339. The cubic root of 925124320 is about 974.3912290035.

Adding to 925124320 its reverse (23421529), we get a palindrome (948545849).

It can be divided in two parts, 925124 and 320, that added together give a square (925444 = 9622).

The spelling of 925124320 in words is "nine hundred twenty-five million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 62 71 74 80 124 142 148 155 160 185 248 284 296 310 355 370 496 568 592 620 710 740 992 1136 1147 1184 1240 1420 1480 2201 2272 2294 2480 2627 2840 2960 4402 4588 4960 5041 5254 5680 5735 5920 8804 9176 10082 10508 11005 11360 11470 13135 17608 18352 20164 21016 22010 22940 25205 26270 35216 36704 40328 42032 44020 45880 50410 52540 70432 80656 81437 84064 88040 91760 100820 105080 156271 161312 162874 176080 183520 186517 201640 210160 312542 325748 352160 373034 403280 407185 420320 625084 651496 746068 781355 806560 814370 932585 1250168 1302992 1492136 1562710 1628740 1865170 2500336 2605984 2984272 3125420 3257480 3730340 5000672 5782027 5968544 6250840 6514960 7460680 11564054 12501680 13029920 14921360 23128108 25003360 28910135 29842720 46256216 57820270 92512432 115640540 185024864 231281080 462562160 925124320