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152279248 = 24114147449
BaseRepresentation
bin10010001001110…
…01100011010000
3101121112120212011
421010321203100
5302440413443
623035512304
73526231552
oct1104714320
9347476764
10152279248
1178a59720
1242bb8694
1325719484
141631d4d2
15d57eb9d
hex91398d0

152279248 has 80 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 65945600.

The previous prime is 152279221. The next prime is 152279249. The reversal of 152279248 is 842972251.

It is a super-3 number, since 3×1522792483 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152279248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152279249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338928 + ... + 339376.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2152279248 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 152279248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

152279248 is an abundant number, since it is smaller than the sum of its proper divisors (185199152).

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

152279248 is a wasteful number, since it uses less digits than its factorization.

152279248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 152279248 is about 12340.1478111083. The cubic root of 152279248 is about 534.0069481531.

The spelling of 152279248 in words is "one hundred fifty-two million, two hundred seventy-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 41 44 47 82 88 94 164 176 188 328 376 449 451 517 656 752 898 902 1034 1796 1804 1927 2068 3592 3608 3854 4136 4939 7184 7216 7708 8272 9878 15416 18409 19756 21103 21197 30832 36818 39512 42206 42394 73636 79024 84412 84788 147272 168824 169576 202499 232133 294544 337648 339152 404998 464266 809996 865223 928532 1619992 1730446 1857064 3239984 3460892 3714128 6921784 9517453 13843568 19034906 38069812 76139624 152279248