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155542464 = 26337211167
BaseRepresentation
bin10010100010101…
…10001111000000
3101211200101011000
421101112033000
5304304324324
623233452000
73566042400
oct1121261700
9354611130
10155542464
117a8883a0
1244111000
13262bc87c
141692c800
15d9c69c9
hex94563c0

155542464 has 336 divisors, whose sum is σ = 583752960. Its totient is φ = 40158720.

The previous prime is 155542459. The next prime is 155542477. The reversal of 155542464 is 464245551.

155542464 is a `hidden beast` number, since 1 + 55 + 542 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 931309 + ... + 931475.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2155542464 is an apocalyptic number.

155542464 is a gapful number since it is divisible by the number (14) 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 155542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480).

155542464 is an abundant number, since it is smaller than the sum of its proper divisors (428210496).

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

155542464 is a wasteful number, since it uses less digits than its factorization.

155542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 155542464 is about 12471.6664483941. Note that the first 3 decimals coincide. The cubic root of 155542464 is about 537.7944609010.

The spelling of 155542464 in words is "one hundred fifty-five million, five hundred forty-two thousand, four hundred sixty-four".