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152260542 = 23272473673
BaseRepresentation
bin10010001001101…
…00111110111110
3101121111122012100
421010310332332
5302434314132
623035245530
73526123200
oct1104647676
9347448170
10152260542
1178a46665
1242ba98a6
1325710ac5
1416316770
15d57937c
hex9134fbe

152260542 has 72 divisors (see below), whose sum is σ = 392030496. Its totient is φ = 42565824.

The previous prime is 152260531. The next prime is 152260543. The reversal of 152260542 is 245062251.

152260542 is a `hidden beast` number, since 1 + 52 + 2 + 605 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152260543) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39618 + ... + 43290.

It is an arithmetic number, because the mean of its divisors is an integer number (5444868).

Almost surely, 2152260542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152260542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196015248).

152260542 is an abundant number, since it is smaller than the sum of its proper divisors (239769954).

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

152260542 is a wasteful number, since it uses less digits than its factorization.

152260542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 152260542 is about 12339.3898552562. The cubic root of 152260542 is about 533.9850814332.

The spelling of 152260542 in words is "one hundred fifty-two million, two hundred sixty thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 126 141 147 282 294 329 423 441 658 846 882 987 1974 2303 2961 3673 4606 5922 6909 7346 11019 13818 20727 22038 25711 33057 41454 51422 66114 77133 154266 172631 179977 231399 345262 359954 462798 517893 539931 1035786 1079862 1208417 1553679 1619793 2416834 3107358 3239586 3625251 7250502 8458919 10875753 16917838 21751506 25376757 50753514 76130271 152260542