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155450440 = 2352924621
BaseRepresentation
bin10010100001111…
…11110001001000
3101211111200220201
421100333301020
5304243403230
623231501544
73565210165
oct1120776110
9354450821
10155450440
117a825242
12440878b4
1326289a12
141690706c
15d9a95ca
hex943fc48

155450440 has 48 divisors (see below), whose sum is σ = 362318580. Its totient is φ = 60023040.

The previous prime is 155450437. The next prime is 155450441. The reversal of 155450440 is 44054551.

It can be written as a sum of positive squares in 6 ways, for example, as 60621796 + 94828644 = 7786^2 + 9738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 155450399 and 155450408.

It is not an unprimeable number, because it can be changed into a prime (155450441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31330 + ... + 35950.

Almost surely, 2155450440 is an apocalyptic number.

155450440 is a gapful number since it is divisible by the number (10) 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 155450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181159290).

155450440 is an abundant number, since it is smaller than the sum of its proper divisors (206868140).

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

155450440 is a wasteful number, since it uses less digits than its factorization.

155450440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 155450440 is about 12467.9765800229. The cubic root of 155450440 is about 537.6883810577.

The spelling of 155450440 in words is "one hundred fifty-five million, four hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1160 1682 3364 4205 4621 6728 8410 9242 16820 18484 23105 33640 36968 46210 92420 134009 184840 268018 536036 670045 1072072 1340090 2680180 3886261 5360360 7772522 15545044 19431305 31090088 38862610 77725220 155450440