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142493472 = 25331122947
BaseRepresentation
bin10000111111001…
…00011100100000
3100221010102022000
420133210130200
5242434242342
622050044000
73350113602
oct1037443440
9327112260
10142493472
1173485500
123b879600
13236a1284
1414cd3172
15c79a44c
hex87e4720

142493472 has 288 divisors, whose sum is σ = 482630400. Its totient is φ = 40803840.

The previous prime is 142493467. The next prime is 142493503. The reversal of 142493472 is 274394241.

142493472 is a `hidden beast` number, since 142 + 49 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1424934722 = 40608779125229568, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3031753 + ... + 3031799.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2142493472 is an apocalyptic number.

142493472 is a gapful number since it is divisible by the number (12) 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 142493472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

142493472 is an abundant number, since it is smaller than the sum of its proper divisors (340136928).

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

142493472 is a wasteful number, since it uses less digits than its factorization.

142493472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 142493472 is about 11937.0629553504. The cubic root of 142493472 is about 522.3139873413.

The spelling of 142493472 in words is "one hundred forty-two million, four hundred ninety-three thousand, four hundred seventy-two".