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3682578252 = 2231928357073
BaseRepresentation
bin1101101101111111…
…1010111101001100
3100111122102100200010
43123133322331030
530020220001002
61405230233220
7160154253513
oct33337727514
910448370603
103682578252
11161a7a0601
12869355810
13468c33bb2
1426d12767a
1516847446c
hexdb7faf4c

3682578252 has 48 divisors (see below), whose sum is σ = 9077048960. Its totient is φ = 1158789888.

The previous prime is 3682578247. The next prime is 3682578269. The reversal of 3682578252 is 2528752863.

It is a super-2 number, since 2×36825782522 = 27122765164206751008, which contains 22 as substring.

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, 35988 + ... + 93060.

Almost surely, 23682578252 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 3682578252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538524480).

3682578252 is an abundant number, since it is smaller than the sum of its proper divisors (5394470708).

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

3682578252 is a wasteful number, since it uses less digits than its factorization.

3682578252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57382 (or 57380 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 3682578252 is about 60684.2504444110. The cubic root of 3682578252 is about 1544.2489972888.

The spelling of 3682578252 in words is "three billion, six hundred eighty-two million, five hundred seventy-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 283 566 849 1132 1698 3396 5377 10754 16131 21508 32262 57073 64524 114146 171219 228292 342438 684876 1084387 2168774 3253161 4337548 6506322 13012644 16151659 32303318 48454977 64606636 96909954 193819908 306881521 613763042 920644563 1227526084 1841289126 3682578252