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3901001764 = 221121721672
BaseRepresentation
bin1110100010000100…
…1001000000100100
3101001212102102101211
43220201021000210
530442124024024
61443032001204
7165445652662
oct35041110044
911055372354
103901001764
111722017400
1290a530204
134a226bb8a
14290143c32
1517c71c594
hexe8849024

3901001764 has 81 divisors (see below), whose sum is σ = 8019167569. Its totient is φ = 1658884480.

The previous prime is 3901001719. The next prime is 3901001773. The reversal of 3901001764 is 4671001093.

It is a happy number.

The square root of 3901001764 is 62458.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3037112100 + 863889664 = 55110^2 + 29392^2 .

It is a super-2 number, since 2×39010017642 = 30435629525462223392, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23359209 + ... + 23359375.

Almost surely, 23901001764 is an apocalyptic number.

3901001764 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3901001764 is the 62458-th square number.

It is an amenable number.

3901001764 is an abundant number, since it is smaller than the sum of its proper divisors (4118165805).

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

3901001764 is a wasteful number, since it uses less digits than its factorization.

3901001764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The cubic root of 3901001764 is about 1574.1956775348.

The spelling of 3901001764 in words is "three billion, nine hundred one million, one thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 167 187 242 289 334 374 484 578 668 748 1156 1837 2057 2839 3179 3674 4114 5678 6358 7348 8228 11356 12716 20207 27889 31229 34969 40414 48263 55778 62458 69938 80828 96526 111556 124916 139876 193052 306779 343519 474113 530893 613558 687038 948226 1061786 1227116 1374076 1896452 2123572 3374569 5215243 5839823 6749138 8059921 10430486 11679646 13498276 16119842 20860972 23359292 32239684 57367673 88659131 114735346 177318262 229470692 354636524 975250441 1950500882 3901001764