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25742976 = 273761157
BaseRepresentation
bin110001000110…
…0111010000000
31210102212201120
41202030322000
523042233401
62315432240
7431545260
oct142147200
953385646
1025742976
1113593096
128755680
13544443c
1435c17a0
1523d7836
hex188ce80

25742976 has 128 divisors (see below), whose sum is σ = 79935360. Its totient is φ = 7188480.

The previous prime is 25742963. The next prime is 25742987. The reversal of 25742976 is 67924752.

It is a tau number, because it is divible by the number of its divisors (128).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163890 + ... + 164046.

It is an arithmetic number, because the mean of its divisors is an integer number (624495).

Almost surely, 225742976 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 25742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39967680).

25742976 is an abundant number, since it is smaller than the sum of its proper divisors (54192384).

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

25742976 is a wasteful number, since it uses less digits than its factorization.

25742976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 25742976 is about 5073.7536400578. The cubic root of 25742976 is about 295.2701766899.

The spelling of 25742976 in words is "twenty-five million, seven hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 157 168 183 192 224 244 314 336 366 384 427 448 471 488 628 672 732 854 896 942 976 1099 1256 1281 1344 1464 1708 1884 1952 2198 2512 2562 2688 2928 3297 3416 3768 3904 4396 5024 5124 5856 6594 6832 7536 7808 8792 9577 10048 10248 11712 13188 13664 15072 17584 19154 20096 20496 23424 26376 27328 28731 30144 35168 38308 40992 52752 54656 57462 60288 67039 70336 76616 81984 105504 114924 134078 140672 153232 163968 201117 211008 229848 268156 306464 402234 422016 459696 536312 612928 804468 919392 1072624 1225856 1608936 1838784 2145248 3217872 3677568 4290496 6435744 8580992 12871488 25742976