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2384993952 = 2532113720347
BaseRepresentation
bin1000111000101000…
…0001111010100000
320011012210020122100
42032022001322200
514341024301302
61032354410400
7113050054065
oct21612017240
96135706570
102384993952
1110142a3290
12566890a00
132c0163633
14188a74c6c
15de5aed1c
hex8e281ea0

2384993952 has 144 divisors (see below), whose sum is σ = 7599245472. Its totient is φ = 703157760.

The previous prime is 2384993939. The next prime is 2384993969. The reversal of 2384993952 is 2593994832.

It is a tau number, because it is divible by the number of its divisors (144).

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, 107043 + ... + 127389.

It is an arithmetic number, because the mean of its divisors is an integer number (52772538).

Almost surely, 22384993952 is an apocalyptic number.

2384993952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2384993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799622736).

2384993952 is an abundant number, since it is smaller than the sum of its proper divisors (5214251520).

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

2384993952 is a wasteful number, since it uses less digits than its factorization.

2384993952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20411 (or 20400 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 2384993952 is about 48836.3998673121. The cubic root of 2384993952 is about 1336.0696355351.

The spelling of 2384993952 in words is "two billion, three hundred eighty-four million, nine hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 132 144 148 176 198 222 264 288 296 333 352 396 407 444 528 592 666 792 814 888 1056 1184 1221 1332 1584 1628 1776 2442 2664 3168 3256 3552 3663 4884 5328 6512 7326 9768 10656 13024 14652 19536 20347 29304 39072 40694 58608 61041 81388 117216 122082 162776 183123 223817 244164 325552 366246 447634 488328 651104 671451 732492 752839 895268 976656 1342902 1464984 1505678 1790536 1953312 2014353 2258517 2685804 2929968 3011356 3581072 4028706 4517034 5371608 5859936 6022712 6775551 7162144 8057412 8281229 9034068 10743216 12045424 13551102 16114824 16562458 18068136 21486432 24090848 24843687 27102204 32229648 33124916 36136272 49687374 54204408 64459296 66249832 72272544 74531061 99374748 108408816 132499664 149062122 198749496 216817632 264999328 298124244 397498992 596248488 794997984 1192496976 2384993952