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3925498304 = 267134211601
BaseRepresentation
bin1110100111111010…
…0101100111000000
3101010120111222100002
43221332211213000
531014411421204
61445305015132
7166164120320
oct35176454700
911116458302
103925498304
111734928a82
129167844a8
134a7367b80
142934bd280
1517e95a91e
hexe9fa59c0

3925498304 has 112 divisors (see below), whose sum is σ = 9616049856. Its totient is φ = 1548288000.

The previous prime is 3925498303. The next prime is 3925498333. The reversal of 3925498304 is 4038945293.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×39254983043 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3925498303) 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, 2451104 + ... + 2452704.

It is an arithmetic number, because the mean of its divisors is an integer number (85857588).

Almost surely, 23925498304 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 3925498304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808024928).

3925498304 is an abundant number, since it is smaller than the sum of its proper divisors (5690551552).

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

3925498304 is a wasteful number, since it uses less digits than its factorization.

3925498304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The square root of 3925498304 is about 62653.7972033619. The cubic root of 3925498304 is about 1577.4838850309.

The spelling of 3925498304 in words is "three billion, nine hundred twenty-five million, four hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 421 448 728 832 842 1456 1601 1684 2912 2947 3202 3368 5473 5824 5894 6404 6736 10946 11207 11788 12808 13472 20813 21892 22414 23576 25616 26944 38311 41626 43784 44828 47152 51232 76622 83252 87568 89656 94304 102464 145691 153244 166504 175136 179312 188608 291382 306488 333008 350272 358624 582764 612976 666016 674021 717248 1165528 1225952 1332032 1348042 2331056 2451904 2696084 4662112 4718147 5392168 8762273 9324224 9436294 10784336 17524546 18872588 21568672 35049092 37745176 43137344 61335911 70098184 75490352 122671822 140196368 150980704 245343644 280392736 301961408 490687288 560785472 981374576 1962749152 3925498304