Search a number
-
+
39540504832 = 282343592647
BaseRepresentation
bin100100110100110011…
…000011100100000000
310210001122102202121221
4210310303003210000
51121434332123312
630055322124424
72566564513513
oct446463034400
9123048382557
1039540504832
1115850647574
1277b6050714
133961b0ca2a
141cb155ad7a
1510664c0207
hex934cc3900

39540504832 has 144 divisors (see below), whose sum is σ = 85734190080. Its totient is φ = 18150967296.

The previous prime is 39540504827. The next prime is 39540504851. The reversal of 39540504832 is 23840504593.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14936533 + ... + 14939179.

It is an arithmetic number, because the mean of its divisors is an integer number (595376320).

Almost surely, 239540504832 is an apocalyptic number.

39540504832 is a gapful number since it is divisible by the number (32) 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 39540504832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42867095040).

39540504832 is an abundant number, since it is smaller than the sum of its proper divisors (46193685248).

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

39540504832 is a wasteful number, since it uses less digits than its factorization.

39540504832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 39540504832 in words is "thirty-nine billion, five hundred forty million, five hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 43 46 59 64 86 92 118 128 172 184 236 256 344 368 472 688 736 944 989 1357 1376 1472 1888 1978 2537 2647 2714 2752 2944 3776 3956 5074 5294 5428 5504 5888 7552 7912 10148 10588 10856 11008 15104 15824 20296 21176 21712 31648 40592 42352 43424 58351 60881 63296 81184 84704 86848 113821 116702 121762 126592 156173 162368 169408 173696 227642 233404 243524 253184 312346 324736 338816 347392 455284 466808 487048 624692 649472 677632 910568 933616 974096 1249384 1821136 1867232 1948192 2498768 2617883 3591979 3642272 3734464 3896384 4997536 5235766 6715439 7183958 7284544 7468928 7792768 9995072 10471532 13430878 14367916 14569088 14937856 15585536 19990144 20943064 26861756 28735832 29138176 39980288 41886128 53723512 57471664 83772256 107447024 114943328 154455097 167544512 214894048 229886656 308910194 335089024 429788096 459773312 617820388 670178048 859576192 919546624 1235640776 1719152384 2471281552 4942563104 9885126208 19770252416 39540504832