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48830208 = 283731293
BaseRepresentation
bin1011101001000…
…1011100000000
310101212211110020
42322101130000
5100000031313
64502333440
71132023060
oct272213400
9111784406
1048830208
1125621949
121442a280
13a168b1b
1466b13a0
154448323
hex2e91700

48830208 has 144 divisors (see below), whose sum is σ = 153839616. Its totient is φ = 13455360.

The previous prime is 48830189. The next prime is 48830231. The reversal of 48830208 is 80203884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166510 + ... + 166802.

Almost surely, 248830208 is an apocalyptic number.

48830208 is a gapful number since it is divisible by the number (48) 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 48830208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76919808).

48830208 is an abundant number, since it is smaller than the sum of its proper divisors (105009408).

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

48830208 is a wasteful number, since it uses less digits than its factorization.

48830208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 48830208 is about 6987.8614754444. The cubic root of 48830208 is about 365.5074146247.

The spelling of 48830208 in words is "forty-eight million, eight hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 293 336 372 384 434 448 496 586 651 672 744 768 868 879 896 992 1172 1302 1344 1488 1736 1758 1792 1984 2051 2344 2604 2688 2976 3472 3516 3968 4102 4688 5208 5376 5952 6153 6944 7032 7936 8204 9083 9376 10416 11904 12306 13888 14064 16408 18166 18752 20832 23808 24612 27249 27776 28128 32816 36332 37504 41664 49224 54498 55552 56256 63581 65632 72664 75008 83328 98448 108996 112512 127162 131264 145328 166656 190743 196896 217992 225024 254324 262528 290656 381486 393792 435984 508648 525056 581312 762972 787584 871968 1017296 1162624 1525944 1575168 1743936 2034592 2325248 3051888 3487872 4069184 6103776 6975744 8138368 12207552 16276736 24415104 48830208