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4213238832 = 2432117137463
BaseRepresentation
bin1111101100100000…
…1110110000110000
3101212121221201010200
43323020032300300
532112042120312
61534024155200
7206256640065
oct37310166060
911777851120
104213238832
111872299770
12997008b00
13521b6283a
142bd7c0c6c
15199d470dc
hexfb20ec30

4213238832 has 120 divisors (see below), whose sum is σ = 13044665088. Its totient is φ = 1258723200.

The previous prime is 4213238797. The next prime is 4213238849. The reversal of 4213238832 is 2388323124.

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

It is a nude number because it is divisible by every one of its digits.

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, 93733 + ... + 131195.

Almost surely, 24213238832 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 4213238832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522332544).

4213238832 is an abundant number, since it is smaller than the sum of its proper divisors (8831426256).

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

4213238832 is a wasteful number, since it uses less digits than its factorization.

4213238832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37559 (or 37550 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4213238832 is about 64909.4664282491. The cubic root of 4213238832 is about 1615.1220989713.

The spelling of 4213238832 in words is "four billion, two hundred thirteen million, two hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 71 72 88 99 132 142 144 176 198 213 264 284 396 426 528 568 639 781 792 852 1136 1278 1562 1584 1704 2343 2556 3124 3408 4686 5112 6248 7029 9372 10224 12496 14058 18744 28116 37463 37488 56232 74926 112389 112464 149852 224778 299704 337167 412093 449556 599408 674334 824186 899112 1236279 1348668 1648372 1798224 2472558 2659873 2697336 3296744 3708837 4945116 5319746 5394672 6593488 7417674 7979619 9890232 10639492 14835348 15959238 19780464 21278984 23938857 29258603 29670696 31918476 42557968 47877714 58517206 59341392 63836952 87775809 95755428 117034412 127673904 175551618 191510856 234068824 263327427 351103236 383021712 468137648 526654854 702206472 1053309708 1404412944 2106619416 4213238832