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48872824 = 237111317359
BaseRepresentation
bin1011101001101…
…1110101111000
310101221222220121
42322123311320
5100002412244
64503303024
71132261240
oct272336570
9111858817
1048872824
1125650970
121444aa74
13a182340
1466c2b20
154455c84
hex2e9bd78

48872824 has 128 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 16496640.

The previous prime is 48872821. The next prime is 48872867. The reversal of 48872824 is 42827884.

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 (48872821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135957 + ... + 136315.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 248872824 is an apocalyptic number.

48872824 is a gapful number since it is divisible by the number (44) 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 48872824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

48872824 is an abundant number, since it is smaller than the sum of its proper divisors (81763976).

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

48872824 is a wasteful number, since it uses less digits than its factorization.

48872824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its digits is 229376, while the sum is 43.

The square root of 48872824 is about 6990.9100981203. The cubic root of 48872824 is about 365.6137144981.

The spelling of 48872824 in words is "forty-eight million, eight hundred seventy-two thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 17 22 26 28 34 44 52 56 68 77 88 91 104 119 136 143 154 182 187 221 238 286 308 359 364 374 442 476 572 616 718 728 748 884 952 1001 1144 1309 1436 1496 1547 1768 2002 2431 2513 2618 2872 3094 3949 4004 4667 4862 5026 5236 6103 6188 7898 8008 9334 9724 10052 10472 12206 12376 15796 17017 18668 19448 20104 24412 27643 31592 32669 34034 37336 42721 48824 51337 55286 65338 67133 68068 79339 85442 102674 110572 130676 134266 136136 158678 170884 205348 221144 261352 268532 317356 341768 359359 410696 469931 537064 555373 634712 718718 872729 939862 1110746 1437436 1745458 1879724 2221492 2874872 3490916 3759448 4442984 6109103 6981832 12218206 24436412 48872824