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152445006 = 23279712473
BaseRepresentation
bin10010001011000…
…10000001001110
3101121212000020100
421011202001032
5303011220011
623043231530
73530522040
oct1105420116
9347760210
10152445006
117906220a
12430785a6
1325776a5c
1416363a90
15d5b3d56
hex916204e

152445006 has 48 divisors (see below), whose sum is σ = 381405024. Its totient is φ = 43103232.

The previous prime is 152444993. The next prime is 152445031. The reversal of 152445006 is 600544251.

152445006 is a `hidden beast` number, since 152 + 4 + 4 + 500 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5986 + ... + 18458.

It is an arithmetic number, because the mean of its divisors is an integer number (7945938).

Almost surely, 2152445006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152445006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190702512).

152445006 is an abundant number, since it is smaller than the sum of its proper divisors (228960018).

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

152445006 is a wasteful number, since it uses less digits than its factorization.

152445006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12585 (or 12582 counting only the distinct ones).

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

The square root of 152445006 is about 12346.8621924763. The cubic root of 152445006 is about 534.2006357968.

Adding to 152445006 its reverse (600544251), we get a palindrome (752989257).

The spelling of 152445006 in words is "one hundred fifty-two million, four hundred forty-five thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 12222 12473 24946 37419 74838 87311 112257 174622 224514 261933 523866 785799 1209881 1571598 2419762 3629643 7259286 8469167 10888929 16938334 21777858 25407501 50815002 76222503 152445006