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3728155376 = 2411192348473
BaseRepresentation
bin1101111000110111…
…0010001011110000
3100121211011220201202
43132031302023300
530113401433001
61413535150332
7161246540441
oct33615621360
910554156652
103728155376
1116434a0350
128806753a8
134755010ca
142751cd2c8
1516c47896b
hexde3722f0

3728155376 has 80 divisors (see below), whose sum is σ = 8655517440. Its totient is φ = 1535592960.

The previous prime is 3728155367. The next prime is 3728155393. The reversal of 3728155376 is 6735518273.

It is a self number, because there is not a number n which added to its sum of digits gives 3728155376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52676 + ... + 101148.

It is an arithmetic number, because the mean of its divisors is an integer number (108193968).

Almost surely, 23728155376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728155376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327758720).

3728155376 is an abundant number, since it is smaller than the sum of its proper divisors (4927362064).

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

3728155376 is a wasteful number, since it uses less digits than its factorization.

3728155376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48534 (or 48528 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 47.

The square root of 3728155376 is about 61058.6224541629. The cubic root of 3728155376 is about 1550.5936506462.

The spelling of 3728155376 in words is "three billion, seven hundred twenty-eight million, one hundred fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 19 22 23 38 44 46 76 88 92 152 176 184 209 253 304 368 418 437 506 836 874 1012 1672 1748 2024 3344 3496 4048 4807 6992 9614 19228 38456 48473 76912 96946 193892 387784 533203 775568 920987 1066406 1114879 1841974 2132812 2229758 3683948 4265624 4459516 7367896 8531248 8919032 10130857 12263669 14735792 17838064 20261714 21182701 24527338 40523428 42365402 49054676 81046856 84730804 98109352 162093712 169461608 196218704 233009711 338923216 466019422 932038844 1864077688 3728155376