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3837926401 = 41215112
BaseRepresentation
bin1110010011000010…
…0001110000000001
3100220110201212021021
43210300201300001
530330002121101
61432500025441
7164051556541
oct34460416001
910813655237
103837926401
11169a455a01
128b1392281
1349218618a
14285a05321
15176e0d5a1
hexe4c21c01

3837926401 has 9 divisors (see below), whose sum is σ = 3936422659. Its totient is φ = 3741840400.

The previous prime is 3837926383. The next prime is 3837926453. The reversal of 3837926401 is 1046297383.

The square root of 3837926401 is 61951.

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

3837926401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 184932801 + 3652993600 = 13599^2 + 60440^2 .

It is not a de Polignac number, because 3837926401 - 211 = 3837924353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3837926461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2539236 + ... + 2540746.

Almost surely, 23837926401 is an apocalyptic number.

3837926401 is the 61951-st square number.

3837926401 is the 30976-th centered octagonal number.

It is an amenable number.

3837926401 is a deficient number, since it is larger than the sum of its proper divisors (98496258).

3837926401 is an frugal number, since it uses more digits than its factorization.

3837926401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The cubic root of 3837926401 is about 1565.6651353815.

The spelling of 3837926401 in words is "three billion, eight hundred thirty-seven million, nine hundred twenty-six thousand, four hundred one".

Divisors: 1 41 1511 1681 61951 2283121 2539991 93607961 3837926401