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25229952 = 2732112181
BaseRepresentation
bin110000000111…
…1101010000000
31202110210222200
41200033222000
522424324302
62300433200
7424310466
oct140175200
952423880
1025229952
1113272700
128548800
1352c4a87
1434ca836
15233581c
hex180fa80

25229952 has 144 divisors (see below), whose sum is σ = 80242890. Its totient is φ = 7603200.

The previous prime is 25229951. The next prime is 25229957. The reversal of 25229952 is 25992252.

It can be written as a sum of positive squares in only one way, i.e., 25160256 + 69696 = 5016^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (25229951) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139302 + ... + 139482.

Almost surely, 225229952 is an apocalyptic number.

25229952 is a gapful number since it is divisible by the number (22) 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 25229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40121445).

25229952 is an abundant number, since it is smaller than the sum of its proper divisors (55012938).

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

25229952 is a wasteful number, since it uses less digits than its factorization.

25229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 25229952 is about 5022.9425638763. The cubic root of 25229952 is about 293.2955506892.

The spelling of 25229952 in words is "twenty-five million, two hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 181 192 198 242 264 288 352 362 363 384 396 484 528 543 576 704 724 726 792 968 1056 1086 1089 1152 1408 1448 1452 1584 1629 1936 1991 2112 2172 2178 2896 2904 3168 3258 3872 3982 4224 4344 4356 5792 5808 5973 6336 6516 7744 7964 8688 8712 11584 11616 11946 12672 13032 15488 15928 17376 17424 17919 21901 23168 23232 23892 26064 31856 34752 34848 35838 43802 46464 47784 52128 63712 65703 69504 69696 71676 87604 95568 104256 127424 131406 139392 143352 175208 191136 197109 208512 254848 262812 286704 350416 382272 394218 525624 573408 700832 764544 788436 1051248 1146816 1401664 1576872 2102496 2293632 2803328 3153744 4204992 6307488 8409984 12614976 25229952