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152187984 = 2435133011
BaseRepresentation
bin10010001001000…
…11010001010000
3101121100221200000
421010203101100
5302430003414
623033530000
73525401514
oct1104432120
9347327600
10152187984
11789a70a3
1242b73900
13256b6a80
14162d8144
15d562b09
hex9123450

152187984 has 120 divisors (see below), whose sum is σ = 475823712. Its totient is φ = 46811520.

The previous prime is 152187977. The next prime is 152187989. The reversal of 152187984 is 489781251.

It is a super-2 number, since 2×1521879842 = 46322364947968512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152187989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49039 + ... + 52049.

Almost surely, 2152187984 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 152187984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237911856).

152187984 is an abundant number, since it is smaller than the sum of its proper divisors (323635728).

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

152187984 is a wasteful number, since it uses less digits than its factorization.

152187984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3029 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 152187984 is about 12336.4494081563. The cubic root of 152187984 is about 533.9002464848.

The spelling of 152187984 in words is "one hundred fifty-two million, one hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3011 3159 3888 4212 5616 6022 6318 8424 9033 12044 12636 16848 18066 24088 25272 27099 36132 39143 48176 50544 54198 72264 78286 81297 108396 117429 144528 156572 162594 216792 234858 243891 313144 325188 352287 433584 469716 487782 626288 650376 704574 731673 939432 975564 1056861 1300752 1409148 1463346 1878864 1951128 2113722 2818296 2926692 3170583 3902256 4227444 5636592 5853384 6341166 8454888 9511749 11706768 12682332 16909776 19023498 25364664 38046996 50729328 76093992 152187984