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3764487990 = 23517325541
BaseRepresentation
bin1110000001100001…
…1000011100110110
3100201100112210201010
43200120120130312
530202202103430
61421314013050
7162200422434
oct34030303466
910640483633
103764487990
111661a565aa
12890877186
1347cbb25b3
14279d69d54
15170753cb0
hexe0618736

3764487990 has 64 divisors (see below), whose sum is σ = 9599705280. Its totient is φ = 944775680.

The previous prime is 3764487977. The next prime is 3764487997. The reversal of 3764487990 is 997844673.

It is a self number, because there is not a number n which added to its sum of digits gives 3764487990.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3764487997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134620 + ... + 160160.

It is an arithmetic number, because the mean of its divisors is an integer number (149995395).

Almost surely, 23764487990 is an apocalyptic number.

3764487990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3764487990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799852640).

3764487990 is an abundant number, since it is smaller than the sum of its proper divisors (5835217290).

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

3764487990 is a wasteful number, since it uses less digits than its factorization.

3764487990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25602 (or 25568 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The square root of 3764487990 is about 61355.4234766577. The cubic root of 3764487990 is about 1555.6144620002.

The spelling of 3764487990 in words is "three billion, seven hundred sixty-four million, four hundred eighty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 4913 8670 9826 14739 24565 25541 29478 49130 51082 73695 76623 127705 147390 153246 255410 383115 434197 766230 868394 1302591 2170985 2605182 4341970 6512955 7381349 13025910 14762698 22144047 36906745 44288094 73813490 110720235 125482933 221440470 250965866 376448799 627414665 752897598 1254829330 1882243995 3764487990