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4683023604 = 2232743143117
BaseRepresentation
bin1000101110010000…
…10100010011110100
3110002100221020200200
410113020110103310
534042323223404
62052405240500
7224023021020
oct42710242364
913070836620
104683023604
111a93498a46
12aa8403130
135982989ac
14325d4d380
151c61e2839
hex1172144f4

4683023604 has 72 divisors (see below), whose sum is σ = 13560438528. Its totient is φ = 1334871360.

The previous prime is 4683023581. The next prime is 4683023633. The reversal of 4683023604 is 4063203864.

It is a happy number.

4683023604 is a `hidden beast` number, since 46 + 8 + 3 + 0 + 2 + 3 + 604 = 666.

It is a super-2 number, since 2×46830236042 = 43861420151242297632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87054 + ... + 130170.

It is an arithmetic number, because the mean of its divisors is an integer number (188339424).

Almost surely, 24683023604 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 4683023604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780219264).

4683023604 is an abundant number, since it is smaller than the sum of its proper divisors (8877414924).

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

4683023604 is a wasteful number, since it uses less digits than its factorization.

4683023604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43565 (or 43560 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4683023604 is about 68432.6209055301. The cubic root of 4683023604 is about 1673.0494682928.

It can be divided in two parts, 468302 and 3604, that added together give a triangular number (471906 = T971).

The spelling of 4683023604 in words is "four billion, six hundred eighty-three million, twenty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 431 862 1293 1724 2586 3017 3879 5172 6034 7758 9051 12068 15516 18102 27153 36204 43117 54306 86234 108612 129351 172468 258702 301819 388053 517404 603638 776106 905457 1207276 1552212 1810914 2716371 3621828 5432742 10865484 18583427 37166854 55750281 74333708 111500562 130083989 167250843 223001124 260167978 334501686 390251967 520335956 669003372 780503934 1170755901 1561007868 2341511802 4683023604