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3897005476 = 2278132
BaseRepresentation
bin1110100001000111…
…1001010110100100
3101001120220101112011
43220101321112210
530440113133401
61442410204004
7165400000000
oct35021712644
911046811464
103897005476
11171a837991
12909123604
134a149cc00
1428d7c3700
1517c1cd451
hexe84795a4

3897005476 has 81 divisors (see below), whose sum is σ = 8615494881. Its totient is φ = 1541672496.

The previous prime is 3897005473. The next prime is 3897005521. The reversal of 3897005476 is 6745007983.

It is a happy number.

The square root of 3897005476 is 62426.

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., 576480100 + 3320525376 = 24010^2 + 57624^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3897005473) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 299769646 + ... + 299769658.

Almost surely, 23897005476 is an apocalyptic number.

3897005476 is the 62426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3897005476

3897005476 is an abundant number, since it is smaller than the sum of its proper divisors (4718489405).

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

3897005476 is an frugal number, since it uses more digits than its factorization.

3897005476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The cubic root of 3897005476 is about 1573.6579448274.

Multiplying 3897005476 by its sum of digits (49), we get a square (190953268324 = 4369822).

3897005476 divided by its sum of digits (49) gives a square (79530724 = 89182).

The spelling of 3897005476 in words is "three billion, eight hundred ninety-seven million, five thousand, four hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 343 364 637 676 686 1183 1274 1372 2366 2401 2548 4459 4732 4802 8281 8918 9604 16562 16807 17836 31213 33124 33614 57967 62426 67228 115934 117649 124852 218491 231868 235298 405769 436982 470596 811538 823543 873964 1529437 1623076 1647086 2840383 3058874 3294172 5680766 5764801 6117748 10706059 11361532 11529602 19882681 21412118 23059204 39765362 42824236 74942413 79530724 139178767 149884826 278357534 299769652 556715068 974251369 1948502738 3897005476