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1400630625 = 32544992
BaseRepresentation
bin101001101111011…
…1110110101100001
310121121112102000100
41103132332311201
510332030140000
6350552213013
746465110132
oct12336766541
93547472010
101400630625
1165968a579
1233109a169
1319423c824
14d4037c89
1582e6ba00
hex537bed61

1400630625 has 45 divisors (see below), whose sum is σ = 2533183653. Its totient is φ = 745506000.

The previous prime is 1400630587. The next prime is 1400630641. The reversal of 1400630625 is 5260360041.

The square root of 1400630625 is 37425.

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

1400630625 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 6 + 30 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109809441 + 1290821184 = 10479^2 + 35928^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1400630625 - 217 = 1400499553 is a prime.

It is a super-2 number, since 2×14006306252 = 3923532295375781250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2806626 + ... + 2807124.

Almost surely, 21400630625 is an apocalyptic number.

1400630625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1400630625 is the 37425-th square number.

1400630625 is the 18713-rd centered octagonal number.

It is an amenable number.

1400630625 is a deficient number, since it is larger than the sum of its proper divisors (1132553028).

1400630625 is an frugal number, since it uses more digits than its factorization.

1400630625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 1400630625 is about 1118.8568866801.

Adding to 1400630625 its reverse (5260360041), we get a palindrome (6660990666).

It can be divided in two parts, 1400 and 630625, that added together give a square (632025 = 7952).

The spelling of 1400630625 in words is "one billion, four hundred million, six hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 499 625 1125 1497 1875 2495 4491 5625 7485 12475 22455 37425 62375 112275 187125 249001 311875 561375 747003 935625 1245005 2241009 2806875 3735015 6225025 11205045 18675075 31125125 56025225 93375375 155625625 280126125 466876875 1400630625