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48830496 = 25311133557
BaseRepresentation
bin1011101001000…
…1100000100000
310101212211211220
42322101200200
5100000033441
64502335040
71132023651
oct272214040
9111784756
1048830496
1125622090
121442a480
13a168cb0
1466b1528
154448466
hex2e91820

48830496 has 96 divisors (see below), whose sum is σ = 150631488. Its totient is φ = 13655040.

The previous prime is 48830489. The next prime is 48830497. The reversal of 48830496 is 69403884.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (48830497) 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, 11950 + ... + 15506.

It is an arithmetic number, because the mean of its divisors is an integer number (1569078).

Almost surely, 248830496 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 48830496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75315744).

48830496 is an abundant number, since it is smaller than the sum of its proper divisors (101800992).

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

48830496 is a wasteful number, since it uses less digits than its factorization.

48830496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 48830496 is about 6987.8820825770. The cubic root of 48830496 is about 365.5081332095.

The spelling of 48830496 in words is "forty-eight million, eight hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 3557 4576 6864 7114 10671 13728 14228 21342 28456 39127 42684 46241 56912 78254 85368 92482 113824 117381 138723 156508 170736 184964 234762 277446 313016 341472 369928 469524 508651 554892 626032 739856 939048 1017302 1109784 1252064 1479712 1525953 1878096 2034604 2219568 3051906 3756192 4069208 4439136 6103812 8138416 12207624 16276832 24415248 48830496