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23988048 = 243733147
BaseRepresentation
bin101101110000…
…0011101010000
31200010201102020
41123200131100
522120104143
62214051440
7410616000
oct133403520
950121366
1023988048
11125a4637
128049b80
134c7b716
143286000
15218c883
hex16e0750

23988048 has 160 divisors (see below), whose sum is σ = 76185600. Its totient is φ = 6491520.

The previous prime is 23987983. The next prime is 23988053. The reversal of 23988048 is 84088932.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510361 + ... + 510407.

It is an arithmetic number, because the mean of its divisors is an integer number (476160).

Almost surely, 223988048 is an apocalyptic number.

23988048 is a gapful number since it is divisible by the number (28) 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 23988048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38092800).

23988048 is an abundant number, since it is smaller than the sum of its proper divisors (52197552).

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

23988048 is a wasteful number, since it uses less digits than its factorization.

23988048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 23988048 is about 4897.7594877658. The cubic root of 23988048 is about 288.4020234250.

The spelling of 23988048 in words is "twenty-three million, nine hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 47 48 49 56 62 84 93 94 98 112 124 141 147 168 186 188 196 217 248 282 294 329 336 343 372 376 392 434 496 564 588 651 658 686 744 752 784 868 987 1029 1128 1176 1302 1316 1372 1457 1488 1519 1736 1974 2058 2256 2303 2352 2604 2632 2744 2914 3038 3472 3948 4116 4371 4557 4606 5208 5264 5488 5828 6076 6909 7896 8232 8742 9114 9212 10199 10416 10633 11656 12152 13818 15792 16121 16464 17484 18228 18424 20398 21266 23312 24304 27636 30597 31899 32242 34968 36456 36848 40796 42532 48363 55272 61194 63798 64484 69936 71393 72912 81592 85064 96726 110544 122388 127596 128968 142786 163184 170128 193452 214179 244776 255192 257936 285572 386904 428358 489552 499751 510384 571144 773808 856716 999502 1142288 1499253 1713432 1999004 2998506 3426864 3998008 5997012 7996016 11994024 23988048