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152541004 = 227111912593
BaseRepresentation
bin10010001011110…
…01011101001100
3101122000212220211
421011321131030
5303022303004
623045252204
73531401650
oct1105713514
9348025824
10152541004
1179118350
1243104064
13257ab665
141638aa60
15d5d2504
hex917974c

152541004 has 48 divisors (see below), whose sum is σ = 334688256. Its totient is φ = 59097600.

The previous prime is 152540989. The next prime is 152541029. The reversal of 152541004 is 400145251.

152541004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57532 + ... + 60124.

It is an arithmetic number, because the mean of its divisors is an integer number (6972672).

Almost surely, 2152541004 is an apocalyptic number.

152541004 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 152541004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167344128).

152541004 is an abundant number, since it is smaller than the sum of its proper divisors (182147252).

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

152541004 is a wasteful number, since it uses less digits than its factorization.

152541004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 152541004 is about 12350.7491270773. The cubic root of 152541004 is about 534.3127449288.

Adding to 152541004 its reverse (400145251), we get a palindrome (552686255).

The spelling of 152541004 in words is "one hundred fifty-two million, five hundred forty-one thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 191 308 382 764 1337 2101 2593 2674 4202 5186 5348 8404 10372 14707 18151 28523 29414 36302 57046 58828 72604 114092 199661 399322 495263 798644 990526 1981052 3466841 5447893 6933682 10895786 13867364 21791572 38135251 76270502 152541004