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1400505552 = 24344126357
BaseRepresentation
bin101001101111010…
…0000010011010000
310121121022001110000
41103132200103100
510332012134202
6350545410000
746464046365
oct12336402320
93547261400
101400505552
11659604606
12331039900
131941c7914
14d400446c
1582e4491c
hex537a04d0

1400505552 has 100 divisors (see below), whose sum is σ = 4152492036. Its totient is φ = 455431680.

The previous prime is 1400505551. The next prime is 1400505607. The reversal of 1400505552 is 2555050041.

It can be written as a sum of positive squares in 2 ways, for example, as 257795136 + 1142710416 = 16056^2 + 33804^2 .

It is a super-2 number, since 2×14005055522 = 3922831602365649408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400505551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39958 + ... + 66314.

Almost surely, 21400505552 is an apocalyptic number.

1400505552 is a gapful number since it is divisible by the number (12) 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 1400505552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076246018).

1400505552 is an abundant number, since it is smaller than the sum of its proper divisors (2751986484).

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

1400505552 is a wasteful number, since it uses less digits than its factorization.

1400505552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26418 (or 26403 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 1400505552 is about 37423.3289807307. The cubic root of 1400505552 is about 1118.8235819314.

Adding to 1400505552 its reverse (2555050041), we get a palindrome (3955555593).

The spelling of 1400505552 in words is "one billion, four hundred million, five hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1968 2214 2952 3321 4428 5904 6642 8856 13284 17712 26357 26568 52714 53136 79071 105428 158142 210856 237213 316284 421712 474426 632568 711639 948852 1080637 1265136 1423278 1897704 2134917 2161274 2846556 3241911 3795408 4269834 4322548 5693112 6483822 8539668 8645096 9725733 11386224 12967644 17079336 17290192 19451466 25935288 29177199 34158672 38902932 51870576 58354398 77805864 87531597 116708796 155611728 175063194 233417592 350126388 466835184 700252776 1400505552