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653130048 = 26347157461
BaseRepresentation
bin100110111011011…
…111100101000000
31200111222102222210
4212323133211000
52314200130143
6144450502120
722120341144
oct4673374500
91614872883
10653130048
113057472aa
12162894940
13a540b8ac
1462a57224
153c515033
hex26edf940

653130048 has 112 divisors (see below), whose sum is σ = 1779934464. Its totient is φ = 211261440.

The previous prime is 653130047. The next prime is 653130067. The reversal of 653130048 is 840031356.

It is a junction number, because it is equal to n+sod(n) for n = 653129997 and 653130024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653130047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1416538 + ... + 1416998.

It is an arithmetic number, because the mean of its divisors is an integer number (15892272).

Almost surely, 2653130048 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 653130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889967232).

653130048 is an abundant number, since it is smaller than the sum of its proper divisors (1126804416).

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

653130048 is a wasteful number, since it uses less digits than its factorization.

653130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 653130048 is about 25556.4091374356. The cubic root of 653130048 is about 867.6273255573.

The spelling of 653130048 in words is "six hundred fifty-three million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 157 188 192 282 314 376 461 471 564 628 752 922 942 1128 1256 1383 1504 1844 1884 2256 2512 2766 3008 3688 3768 4512 5024 5532 7376 7379 7536 9024 10048 11064 14752 14758 15072 21667 22128 22137 29504 29516 30144 43334 44256 44274 59032 65001 72377 86668 88512 88548 118064 130002 144754 173336 177096 217131 236128 260004 289508 346672 354192 434262 472256 520008 579016 693344 708384 868524 1040016 1158032 1386688 1416768 1737048 2080032 2316064 3401719 3474096 4160064 4632128 6803438 6948192 10205157 13606876 13896384 20410314 27213752 40820628 54427504 81641256 108855008 163282512 217710016 326565024 653130048