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48633408 = 2632233671
BaseRepresentation
bin1011100110000…
…1011001000000
310101111211111100
42321201121000
544422232113
64454214400
71130243235
oct271413100
9111454440
1048633408
11254a7aaa
1214354400
13a0ca385
14665d78c
154409d73
hex2e61640

48633408 has 84 divisors (see below), whose sum is σ = 145499328. Its totient is φ = 15502080.

The previous prime is 48633373. The next prime is 48633439. The reversal of 48633408 is 80433684.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11413 + ... + 15083.

Almost surely, 248633408 is an apocalyptic number.

48633408 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 48633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72749664).

48633408 is an abundant number, since it is smaller than the sum of its proper divisors (96865920).

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

48633408 is a wasteful number, since it uses less digits than its factorization.

48633408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48633408 is about 6973.7656972399. The cubic root of 48633408 is about 365.0157195957.

The spelling of 48633408 in words is "forty-eight million, six hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 3671 4416 6624 7342 11013 13248 14684 22026 29368 33039 44052 58736 66078 84433 88104 117472 132156 168866 176208 234944 253299 264312 337732 352416 506598 528624 675464 704832 759897 1013196 1057248 1350928 1519794 2026392 2114496 2701856 3039588 4052784 5403712 6079176 8105568 12158352 16211136 24316704 48633408