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4025434752 = 27332334999
BaseRepresentation
bin1110111111101111…
…0100001010000000
3101101112120021101000
43233323310022000
531221002403002
61503235012000
7201516426243
oct35773641200
911345507330
104025434752
111786286789
1294413a000
134c1c88771
142a289525a
151885eb61c
hexefef4280

4025434752 has 128 divisors (see below), whose sum is σ = 11934000000. Its totient is φ = 1335785472.

The previous prime is 4025434727. The next prime is 4025434759. The reversal of 4025434752 is 2574345204.

4025434752 is a `hidden beast` number, since 40 + 2 + 543 + 4 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (4025434759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802749 + ... + 807747.

It is an arithmetic number, because the mean of its divisors is an integer number (93234375).

Almost surely, 24025434752 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 4025434752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967000000).

4025434752 is an abundant number, since it is smaller than the sum of its proper divisors (7908565248).

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

4025434752 is a wasteful number, since it uses less digits than its factorization.

4025434752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 4025434752 is about 63446.3139354841. The cubic root of 4025434752 is about 1590.7585415893.

Adding to 4025434752 its reverse (2574345204), we get a palindrome (6599779956).

The spelling of 4025434752 in words is "four billion, twenty-five million, four hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 233 288 384 432 466 576 699 864 932 1152 1398 1728 1864 2097 2796 3456 3728 4194 4999 5592 6291 7456 8388 9998 11184 12582 14912 14997 16776 19996 22368 25164 29824 29994 33552 39992 44736 44991 50328 59988 67104 79984 89472 89982 100656 119976 134208 134973 159968 179964 201312 239952 268416 269946 319936 359928 402624 479904 539892 639872 719856 805248 959808 1079784 1164767 1439712 1919616 2159568 2329534 2879424 3494301 4319136 4659068 5758848 6988602 8638272 9318136 10482903 13977204 17276544 18636272 20965806 27954408 31448709 37272544 41931612 55908816 62897418 74545088 83863224 111817632 125794836 149090176 167726448 223635264 251589672 335452896 447270528 503179344 670905792 1006358688 1341811584 2012717376 4025434752