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3251493792 = 25338345341
BaseRepresentation
bin1100000111001101…
…1101101110100000
322101121020222222000
43001303131232200
523124340300132
61254350444000
7143401145511
oct30163355640
98347228860
103251493792
111419424458
12768b03600
133ca82ab31
1422bb90a08
151406c087c
hexc1cddba0

3251493792 has 96 divisors (see below), whose sum is σ = 9597994560. Its totient is φ = 1070749440.

The previous prime is 3251493787. The next prime is 3251493829. The reversal of 3251493792 is 2973941523.

3251493792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49042 + ... + 94382.

It is an arithmetic number, because the mean of its divisors is an integer number (99979110).

Almost surely, 23251493792 is an apocalyptic number.

3251493792 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 3251493792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798997280).

3251493792 is an abundant number, since it is smaller than the sum of its proper divisors (6346500768).

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

3251493792 is a wasteful number, since it uses less digits than its factorization.

3251493792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45443 (or 45429 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 3251493792 is about 57021.8711723844. The cubic root of 3251493792 is about 1481.4749406188.

The spelling of 3251493792 in words is "three billion, two hundred fifty-one million, four hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 7968 8964 11952 17928 23904 35856 45341 71712 90682 136023 181364 272046 362728 408069 544092 725456 816138 1088184 1224207 1450912 1632276 2176368 2448414 3264552 3763303 4352736 4896828 6529104 7526606 9793656 11289909 13058208 15053212 19587312 22579818 30106424 33869727 39174624 45159636 60212848 67739454 90319272 101609181 120425696 135478908 180638544 203218362 270957816 361277088 406436724 541915632 812873448 1083831264 1625746896 3251493792