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23978052 = 22337223197
BaseRepresentation
bin101101101111…
…0000001000100
31200010012201000
41123132001010
522114244202
62213533300
7410544600
oct133360104
950105630
1023978052
111259807a
128044230
134c76cc7
143282500
15218991c
hex16de044

23978052 has 144 divisors (see below), whose sum is σ = 75841920. Its totient is φ = 6519744.

The previous prime is 23978051. The next prime is 23978069. The reversal of 23978052 is 25087932.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 23977998 and 23978016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23978051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 121618 + ... + 121814.

It is an arithmetic number, because the mean of its divisors is an integer number (526680).

Almost surely, 223978052 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 23978052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37920960).

23978052 is an abundant number, since it is smaller than the sum of its proper divisors (51863868).

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

23978052 is a wasteful number, since it uses less digits than its factorization.

23978052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 23978052 is about 4896.7389148289. The cubic root of 23978052 is about 288.3619580953.

The spelling of 23978052 in words is "twenty-three million, nine hundred seventy-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 49 54 63 69 84 92 98 108 126 138 147 161 189 196 197 207 252 276 294 322 378 394 414 441 483 588 591 621 644 756 788 828 882 966 1127 1182 1242 1323 1379 1449 1764 1773 1932 2254 2364 2484 2646 2758 2898 3381 3546 4137 4347 4508 4531 5292 5319 5516 5796 6762 7092 8274 8694 9062 9653 10143 10638 12411 13524 13593 16548 17388 18124 19306 20286 21276 24822 27186 28959 30429 31717 37233 38612 40572 40779 49644 54372 57918 60858 63434 74466 81558 86877 95151 115836 121716 122337 126868 148932 163116 173754 190302 222019 244674 260631 285453 347508 380604 444038 489348 521262 570906 666057 856359 888076 1042524 1141812 1332114 1712718 1998171 2664228 3425436 3996342 5994513 7992684 11989026 23978052