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125442048 = 2113171201
BaseRepresentation
bin1110111101000…
…01100000000000
322202001010010210
413132201200000
5224103121143
620240354120
73052145154
oct736414000
9282033123
10125442048
1164899516
1236015940
131ccb0c84
1412935064
15b02d033
hex77a1800

125442048 has 96 divisors (see below), whose sum is σ = 354397680. Its totient is φ = 39321600.

The previous prime is 125442041. The next prime is 125442059. The reversal of 125442048 is 840244521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125442041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103848 + ... + 105048.

Almost surely, 2125442048 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 125442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177198840).

125442048 is an abundant number, since it is smaller than the sum of its proper divisors (228955632).

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

125442048 is a wasteful number, since it uses less digits than its factorization.

125442048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 125442048 is about 11200.0914281983. The cubic root of 125442048 is about 500.5887039167.

Adding to 125442048 its reverse (840244521), we get a palindrome (965686569).

The spelling of 125442048 in words is "one hundred twenty-five million, four hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1201 1536 1632 2048 2176 2402 3072 3264 3603 4352 4804 6144 6528 7206 8704 9608 13056 14412 17408 19216 20417 26112 28824 34816 38432 40834 52224 57648 61251 76864 81668 104448 115296 122502 153728 163336 230592 245004 307456 326672 461184 490008 614912 653344 922368 980016 1229824 1306688 1844736 1960032 2459648 2613376 3689472 3920064 5226752 7378944 7840128 10453504 15680256 20907008 31360512 41814016 62721024 125442048