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48874624 = 274167139
BaseRepresentation
bin1011101001110…
…0010010000000
310101222002101021
42322130102000
5100002441444
64503315224
71132266421
oct272342200
9111862337
1048874624
1125652257
121444bb14
13a1830c6
1466c3648
154456584
hex2e9c480

48874624 has 64 divisors (see below), whose sum is σ = 101959200. Its totient is φ = 23316480.

The previous prime is 48874601. The next prime is 48874663. The reversal of 48874624 is 42647884.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×488746242 = 4777457742282752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351547 + ... + 351685.

Almost surely, 248874624 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 48874624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50979600).

48874624 is an abundant number, since it is smaller than the sum of its proper divisors (53084576).

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

48874624 is a wasteful number, since it uses less digits than its factorization.

48874624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its digits is 344064, while the sum is 43.

The square root of 48874624 is about 6991.0388355380. The cubic root of 48874624 is about 365.6182029954.

The spelling of 48874624 in words is "forty-eight million, eight hundred seventy-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 67 82 128 134 139 164 268 278 328 536 556 656 1072 1112 1312 2144 2224 2624 2747 4288 4448 5248 5494 5699 8576 8896 9313 10988 11398 17792 18626 21976 22796 37252 43952 45592 74504 87904 91184 149008 175808 182368 298016 351616 364736 381833 596032 729472 763666 1192064 1527332 3054664 6109328 12218656 24437312 48874624