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152027442 = 2347791697
BaseRepresentation
bin10010000111111…
…00000100110010
3101121001210110000
421003330010302
5302404334232
623030250430
73524132460
oct1103740462
9347053400
10152027442
11788a7516
1242ab6a16
132565b988
1416295830
15d53027c
hex90fc132

152027442 has 80 divisors (see below), whose sum is σ = 394479360. Its totient is φ = 42861312.

The previous prime is 152027377. The next prime is 152027471. The reversal of 152027442 is 244720251.

152027442 is a `hidden beast` number, since 15 + 202 + 7 + 442 = 666.

It is a super-2 number, since 2×1520274422 = 46224686242126728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88738 + ... + 90434.

It is an arithmetic number, because the mean of its divisors is an integer number (4930992).

Almost surely, 2152027442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152027442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197239680).

152027442 is an abundant number, since it is smaller than the sum of its proper divisors (242451918).

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

152027442 is a wasteful number, since it uses less digits than its factorization.

152027442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 152027442 is about 12329.9408757707. The cubic root of 152027442 is about 533.7124446004.

Adding to 152027442 its reverse (244720251), we get a palindrome (396747693).

The spelling of 152027442 in words is "one hundred fifty-two million, twenty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 81 126 158 162 189 237 378 474 553 567 711 1106 1134 1422 1659 1697 2133 3318 3394 4266 4977 5091 6399 9954 10182 11879 12798 14931 15273 23758 29862 30546 35637 44793 45819 71274 89586 91638 106911 134063 137457 213822 268126 274914 320733 402189 641466 804378 938441 962199 1206567 1876882 1924398 2413134 2815323 3619701 5630646 7239402 8445969 10859103 16891938 21718206 25337907 50675814 76013721 152027442