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3125874432 = 28323271653
BaseRepresentation
bin1011101001010001…
…0000111100000000
322001211212212121010
42322110100330000
522400210440212
61234102200520
7140314331352
oct27224207400
98054785533
103125874432
1113645247aa
12732a23140
133aa7b7255
142192110d2
1513465a03c
hexba510f00

3125874432 has 144 divisors (see below), whose sum is σ = 8726473728. Its totient is φ = 991457280.

The previous prime is 3125874431. The next prime is 3125874443. The reversal of 3125874432 is 2344785213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125874431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4786618 + ... + 4787270.

It is an arithmetic number, because the mean of its divisors is an integer number (60600512).

Almost surely, 23125874432 is an apocalyptic number.

3125874432 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 3125874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363236864).

3125874432 is an abundant number, since it is smaller than the sum of its proper divisors (5600599296).

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

3125874432 is a wasteful number, since it uses less digits than its factorization.

3125874432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 952 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 3125874432 is about 55909.5200480204. The cubic root of 3125874432 is about 1462.1452219721.

The spelling of 3125874432 in words is "three billion, one hundred twenty-five million, eight hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 271 276 368 384 542 552 653 736 768 813 1084 1104 1306 1472 1626 1959 2168 2208 2612 2944 3252 3918 4336 4416 5224 5888 6233 6504 7836 8672 8832 10448 12466 13008 15019 15672 17344 17664 18699 20896 24932 26016 30038 31344 34688 37398 41792 45057 49864 52032 60076 62688 69376 74796 83584 90114 99728 104064 120152 125376 149592 167168 176963 180228 199456 208128 240304 250752 299184 353926 360456 398912 480608 501504 530889 598368 707852 720912 797824 961216 1061778 1196736 1415704 1441824 1595648 1922432 2123556 2393472 2831408 2883648 3844864 4070149 4247112 4786944 5662816 5767296 8140298 8494224 11325632 11534592 12210447 16280596 16988448 22651264 24420894 32561192 33976896 45302528 48841788 65122384 67953792 97683576 130244768 135907584 195367152 260489536 390734304 520979072 781468608 1041958144 1562937216 3125874432