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154504900 = 22521121132
BaseRepresentation
bin10010011010110…
…00111011000100
3101202201122212201
421031120323010
5304023124100
623155324244
73554161414
oct1115307304
9352648781
10154504900
117a239900
12438b0684
1326018524
141673c644
15d86e36a
hex9358ec4

154504900 has 81 divisors (see below), whose sum is σ = 371816263. Its totient is φ = 55686400.

The previous prime is 154504879. The next prime is 154504907. The reversal of 154504900 is 9405451.

The square root of 154504900 is 12430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 78605956 + 75898944 = 8866^2 + 8712^2 .

It is a super-4 number, since 4×1545049004 (a number of 34 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (154504907) 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 26 ways as a sum of consecutive naturals, for example, 1367244 + ... + 1367356.

Almost surely, 2154504900 is an apocalyptic number.

154504900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

154504900 is the 12430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154504900

154504900 is an abundant number, since it is smaller than the sum of its proper divisors (217311363).

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

154504900 is a wasteful number, since it uses less digits than its factorization.

154504900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 154504900 is about 536.5959853589.

Multiplying 154504900 by its product of nonzero digits (3600), we get a square (556217640000 = 7458002).

The spelling of 154504900 in words is "one hundred fifty-four million, five hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 121 220 226 242 275 452 484 550 565 605 1100 1130 1210 1243 2260 2420 2486 2825 3025 4972 5650 6050 6215 11300 12100 12430 12769 13673 24860 25538 27346 31075 51076 54692 62150 63845 68365 124300 127690 136730 140459 255380 273460 280918 319225 341825 561836 638450 683650 702295 1276900 1367300 1404590 1545049 2809180 3090098 3511475 6180196 7022950 7725245 14045900 15450490 30900980 38626225 77252450 154504900