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48828624 = 24313174603
BaseRepresentation
bin1011101001000…
…1000011010000
310101212202021120
42322101003100
5100000003444
64502322240
71132015335
oct272210320
9111782246
1048828624
1125620739
1214429380
13a1681a0
1466b098c
154447b19
hex2e910d0

48828624 has 80 divisors (see below), whose sum is σ = 143865792. Its totient is φ = 14137344.

The previous prime is 48828623. The next prime is 48828631. The reversal of 48828624 is 42682884.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48828623) 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, 8307 + ... + 12909.

Almost surely, 248828624 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 48828624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71932896).

48828624 is an abundant number, since it is smaller than the sum of its proper divisors (95037168).

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

48828624 is a wasteful number, since it uses less digits than its factorization.

48828624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4638 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 48828624 is about 6987.7481351291. The cubic root of 48828624 is about 365.5034623581.

The spelling of 48828624 in words is "forty-eight million, eight hundred twenty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 4603 5304 9206 10608 13809 18412 27618 36824 55236 59839 73648 78251 110472 119678 156502 179517 220944 234753 239356 313004 359034 469506 478712 626008 718068 939012 957424 1017263 1252016 1436136 1878024 2034526 2872272 3051789 3756048 4069052 6103578 8138104 12207156 16276208 24414312 48828624