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152288406 = 232101211397
BaseRepresentation
bin10010001001110…
…11110010010110
3101121120001102100
421010323302112
5302441212111
623040022530
73526300344
oct1104736226
9347501370
10152288406
1178a65596
1243001a46
13257206aa
1416322994
15d582756
hex913bc96

152288406 has 48 divisors (see below), whose sum is σ = 335647728. Its totient is φ = 49896000.

The previous prime is 152288393. The next prime is 152288441. The reversal of 152288406 is 604882251.

152288406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 383400 + ... + 383796.

It is an arithmetic number, because the mean of its divisors is an integer number (6992661).

Almost surely, 2152288406 is an apocalyptic number.

152288406 is an abundant number, since it is smaller than the sum of its proper divisors (183359322).

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

152288406 is a wasteful number, since it uses less digits than its factorization.

152288406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 152288406 is about 12340.5188707769. The cubic root of 152288406 is about 534.0176529114.

The spelling of 152288406 in words is "one hundred fifty-two million, two hundred eighty-eight thousand, four hundred six".

Divisors: 1 2 3 6 9 18 101 202 211 303 397 422 606 633 794 909 1191 1266 1818 1899 2382 3573 3798 7146 21311 40097 42622 63933 80194 83767 120291 127866 167534 191799 240582 251301 360873 383598 502602 721746 753903 1507806 8460467 16920934 25381401 50762802 76144203 152288406