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142177248 = 2533792083
BaseRepresentation
bin10000111100101…
…11001111100000
3100220112100112000
420132113033200
5242344132443
622035204000
73344325633
oct1036271740
9326470460
10142177248
1173289964
123b746600
13235c0365
1414c4dc1a
15c7368d3
hex87973e0

142177248 has 96 divisors (see below), whose sum is σ = 420134400. Its totient is φ = 46770048.

The previous prime is 142177241. The next prime is 142177249. The reversal of 142177248 is 842771241.

142177248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142177241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67215 + ... + 69297.

It is an arithmetic number, because the mean of its divisors is an integer number (4376400).

Almost surely, 2142177248 is an apocalyptic number.

142177248 is a gapful number since it is divisible by the number (18) 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 142177248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210067200).

142177248 is an abundant number, since it is smaller than the sum of its proper divisors (277957152).

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

142177248 is a wasteful number, since it uses less digits than its factorization.

142177248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2167 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 142177248 is about 11923.8101293169. The cubic root of 142177248 is about 521.9273250654.

The spelling of 142177248 in words is "one hundred forty-two million, one hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 864 948 1264 1422 1896 2083 2133 2528 2844 3792 4166 4266 5688 6249 7584 8332 8532 11376 12498 16664 17064 18747 22752 24996 33328 34128 37494 49992 56241 66656 68256 74988 99984 112482 149976 164557 199968 224964 299952 329114 449928 493671 599904 658228 899856 987342 1316456 1481013 1799712 1974684 2632912 2962026 3949368 4443039 5265824 5924052 7898736 8886078 11848104 15797472 17772156 23696208 35544312 47392416 71088624 142177248