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152343552 = 2103101491
BaseRepresentation
bin10010001010010…
…01010000000000
3101121122212001210
421011021100000
5302444443202
623041130120
73526620204
oct1105112000
9347585053
10152343552
1178aa2a69
1243029940
132573c81a
1416338b04
15d593c6c
hex9149400

152343552 has 88 divisors (see below), whose sum is σ = 410906592. Its totient is φ = 50176000.

The previous prime is 152343551. The next prime is 152343563. The reversal of 152343552 is 255343251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152343551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310027 + ... + 310517.

Almost surely, 2152343552 is an apocalyptic number.

152343552 is a gapful number since it is divisible by the number (12) 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 152343552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205453296).

152343552 is an abundant number, since it is smaller than the sum of its proper divisors (258563040).

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

152343552 is a wasteful number, since it uses less digits than its factorization.

152343552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 597 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 152343552 is about 12342.7530154338. The cubic root of 152343552 is about 534.0821038312.

The spelling of 152343552 in words is "one hundred fifty-two million, three hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 491 512 606 768 808 982 1024 1212 1473 1536 1616 1964 2424 2946 3072 3232 3928 4848 5892 6464 7856 9696 11784 12928 15712 19392 23568 25856 31424 38784 47136 49591 51712 62848 77568 94272 99182 103424 125696 148773 155136 188544 198364 251392 297546 310272 377088 396728 502784 595092 754176 793456 1190184 1508352 1586912 2380368 3173824 4760736 6347648 9521472 12695296 19042944 25390592 38085888 50781184 76171776 152343552