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152474336 = 2573718397
BaseRepresentation
bin10010001011010…
…01001011100000
3101121220111110122
421011221023200
5303013134321
623044015412
73531003410
oct1105511340
9347814418
10152474336
1179082253
1243091568
1325787201
1416370640
15d5bc8ab
hex91692e0

152474336 has 48 divisors (see below), whose sum is σ = 352358496. Its totient is φ = 63576576.

The previous prime is 152474327. The next prime is 152474339. The reversal of 152474336 is 633474251.

It is a super-3 number, since 3×1524743363 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152474296 and 152474305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152474339) 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 7 ways as a sum of consecutive naturals, for example, 911 + ... + 17486.

It is an arithmetic number, because the mean of its divisors is an integer number (7340802).

Almost surely, 2152474336 is an apocalyptic number.

152474336 is a gapful number since it is divisible by the number (16) 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 152474336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176179248).

152474336 is an abundant number, since it is smaller than the sum of its proper divisors (199884160).

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

152474336 is a wasteful number, since it uses less digits than its factorization.

152474336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18451 (or 18443 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 152474336 is about 12348.0498865205. The cubic root of 152474336 is about 534.2348931778.

The spelling of 152474336 in words is "one hundred fifty-two million, four hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 8288 18397 36794 73588 128779 147176 257558 294352 515116 588704 680689 1030232 1361378 2060464 2722756 4120928 4764823 5445512 9529646 10891024 19059292 21782048 38118584 76237168 152474336