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4932299376 = 2432191999059
BaseRepresentation
bin1001001011111110…
…01110101001110000
3110201201222202202200
410211333032221300
540100132040001
62133232143200
7233140565364
oct44577165160
913651882680
104932299376
112101177584
12b57997b00
13607b16854
1434b0bb2a4
151dd032086
hex125fcea70

4932299376 has 120 divisors (see below), whose sum is σ = 14604720000. Its totient is φ = 1549570176.

The previous prime is 4932299363. The next prime is 4932299401. The reversal of 4932299376 is 6739922394.

4932299376 is a `hidden beast` number, since 49 + 3 + 229 + 9 + 376 = 666.

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, 539935 + ... + 548993.

It is an arithmetic number, because the mean of its divisors is an integer number (121706000).

Almost surely, 24932299376 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 4932299376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302360000).

4932299376 is an abundant number, since it is smaller than the sum of its proper divisors (9672420624).

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

4932299376 is a wasteful number, since it uses less digits than its factorization.

4932299376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9291 (or 9282 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 4932299376 is about 70230.3308834580. The cubic root of 4932299376 is about 1702.2230865321.

The spelling of 4932299376 in words is "four billion, nine hundred thirty-two million, two hundred ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 199 228 304 342 398 456 597 684 796 912 1194 1368 1592 1791 2388 2736 3184 3582 3781 4776 7164 7562 9059 9552 11343 14328 15124 18118 22686 27177 28656 30248 34029 36236 45372 54354 60496 68058 72472 81531 90744 108708 136116 144944 163062 172121 181488 217416 272232 326124 344242 434832 516363 544464 652248 688484 1032726 1304496 1376968 1549089 1802741 2065452 2753936 3098178 3605482 4130904 5408223 6196356 7210964 8261808 10816446 12392712 14421928 16224669 21632892 24785424 28843856 32449338 34252079 43265784 64898676 68504158 86531568 102756237 129797352 137008316 205512474 259594704 274016632 308268711 411024948 548033264 616537422 822049896 1233074844 1644099792 2466149688 4932299376