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142901408 = 25132691277
BaseRepresentation
bin10001000010010…
…00000010100000
3100221220010212202
420201020002200
5243040321113
622102512332
73353433116
oct1041100240
9327803782
10142901408
1173733a41
123ba356a8
13237b4b60
1414d9bab6
15c82b258
hex88480a0

142901408 has 48 divisors (see below), whose sum is σ = 304342920. Its totient is φ = 65657856.

The previous prime is 142901401. The next prime is 142901411. The reversal of 142901408 is 804109241.

It can be written as a sum of positive squares in 4 ways, for example, as 73479184 + 69422224 = 8572^2 + 8332^2 .

It is not an unprimeable number, because it can be changed into a prime (142901401) 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, 111266 + ... + 112542.

Almost surely, 2142901408 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 142901408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152171460).

142901408 is an abundant number, since it is smaller than the sum of its proper divisors (161441512).

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

142901408 is a wasteful number, since it uses less digits than its factorization.

142901408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 142901408 is about 11954.1376937025. The cubic root of 142901408 is about 522.8119462290.

The spelling of 142901408 in words is "one hundred forty-two million, nine hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 269 416 538 1076 1277 2152 2554 3497 4304 5108 6994 8608 10216 13988 16601 20432 27976 33202 40864 55952 66404 111904 132808 265616 343513 531232 687026 1374052 2748104 4465669 5496208 8931338 10992416 17862676 35725352 71450704 142901408