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3728199480 = 233534989021
BaseRepresentation
bin1101111000110111…
…1100111100111000
3100121211021011020020
43132031330330320
530113404340410
61413540130440
7161250113145
oct33615747470
910554234206
103728199480
1116435204a5
12880696a20
134755181c5
142752013cc
1516c486a70
hexde37cf38

3728199480 has 64 divisors (see below), whose sum is σ = 11216772000. Its totient is φ = 991326720.

The previous prime is 3728199457. The next prime is 3728199533. The reversal of 3728199480 is 849918273.

It is a congruent number.

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, 2631 + ... + 86390.

Almost surely, 23728199480 is an apocalyptic number.

3728199480 is a gapful number since it is divisible by the number (30) 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 3728199480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608386000).

3728199480 is an abundant number, since it is smaller than the sum of its proper divisors (7488572520).

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

3728199480 is a wasteful number, since it uses less digits than its factorization.

3728199480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89384 (or 89380 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 3728199480 is about 61058.9836142070. The cubic root of 3728199480 is about 1550.5997651189.

The spelling of 3728199480 in words is "three billion, seven hundred twenty-eight million, one hundred ninety-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 349 698 1047 1396 1745 2094 2792 3490 4188 5235 6980 8376 10470 13960 20940 41880 89021 178042 267063 356084 445105 534126 712168 890210 1068252 1335315 1780420 2136504 2670630 3560840 5341260 10682520 31068329 62136658 93204987 124273316 155341645 186409974 248546632 310683290 372819948 466024935 621366580 745639896 932049870 1242733160 1864099740 3728199480