Search a number
-
+
49690528200 = 23325227605849
BaseRepresentation
bin101110010001110010…
…010100100111001000
311202021000111101010100
4232101302110213020
51303231233400300
634454424245400
73406243343415
oct562162244710
9152230441110
1049690528200
111a08a00a335
129769310860
1348bb906911
1425955b310c
15145c614700
hexb91c949c8

49690528200 has 72 divisors (see below), whose sum is σ = 166877363250. Its totient is φ = 13250807040.

The previous prime is 49690528193. The next prime is 49690528231. The reversal of 49690528200 is 282509694.

49690528200 is a `hidden beast` number, since 49 + 69 + 0 + 528 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20803446756 + 28887081444 = 144234^2 + 169962^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13801125 + ... + 13804724.

Almost surely, 249690528200 is an apocalyptic number.

49690528200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49690528200 is an abundant number, since it is smaller than the sum of its proper divisors (117186835050).

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

49690528200 is a wasteful number, since it uses less digits than its factorization.

49690528200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27605871 (or 27605859 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 49690528200 in words is "forty-nine billion, six hundred ninety million, five hundred twenty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 27605849 55211698 82817547 110423396 138029245 165635094 220846792 248452641 276058490 331270188 414087735 496905282 552116980 662540376 690146225 828175470 993810564 1104233960 1242263205 1380292450 1656350940 1987621128 2070438675 2484526410 2760584900 3312701880 4140877350 4969052820 5521169800 6211316025 8281754700 9938105640 12422632050 16563509400 24845264100 49690528200