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155132992 = 267438053
BaseRepresentation
bin10010011111100…
…10010001000000
3101210220120110101
421033302101000
5304203223432
623221012144
73562415530
oct1117622100
9353816411
10155132992
117a628793
1243b54054
13261a8391
14168634c0
15d9454e7
hex93f2440

155132992 has 56 divisors (see below), whose sum is σ = 360046016. Its totient is φ = 64931328.

The previous prime is 155132981. The next prime is 155132993. The reversal of 155132992 is 299231551.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (155132993) 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, 15238 + ... + 23290.

Almost surely, 2155132992 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 155132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180023008).

155132992 is an abundant number, since it is smaller than the sum of its proper divisors (204913024).

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

155132992 is an equidigital number, since it uses as much as digits as its factorization.

155132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115 (or 8105 counting only the distinct ones).

The product of its digits is 24300, while the sum is 37.

The square root of 155132992 is about 12455.2395400490. The cubic root of 155132992 is about 537.3221240874.

It can be divided in two parts, 1551 and 32992, that added together give a palindrome (34543).

The spelling of 155132992 in words is "one hundred fifty-five million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 2408 2752 4816 8053 9632 16106 19264 32212 56371 64424 112742 128848 225484 257696 346279 450968 515392 692558 901936 1385116 1803872 2423953 2770232 3607744 4847906 5540464 9695812 11080928 19391624 22161856 38783248 77566496 155132992