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1533412416 = 26313957457
BaseRepresentation
bin101101101100110…
…0000010001000000
310221212101102101110
41123121200101000
511120023144131
6412054203320
752666535064
oct13331402100
93855342343
101533412416
11717631498
12369653540
131b58c0533
1410791daa4
158e949646
hex5b660440

1533412416 has 56 divisors (see below), whose sum is σ = 4086412960. Its totient is φ = 507451392.

The previous prime is 1533412411. The next prime is 1533412429. The reversal of 1533412416 is 6142143351.

It is not an unprimeable number, because it can be changed into a prime (1533412411) 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 7 ways as a sum of consecutive naturals, for example, 2041 + ... + 55416.

It is an arithmetic number, because the mean of its divisors is an integer number (72971660).

Almost surely, 21533412416 is an apocalyptic number.

1533412416 is a gapful number since it is divisible by the number (16) 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 1533412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043206480).

1533412416 is an abundant number, since it is smaller than the sum of its proper divisors (2553000544).

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

1533412416 is a wasteful number, since it uses less digits than its factorization.

1533412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57611 (or 57601 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 1533412416 is about 39158.8101964296. The cubic root of 1533412416 is about 1153.1513854965.

Adding to 1533412416 its reverse (6142143351), we get a palindrome (7675555767).

The spelling of 1533412416 in words is "one billion, five hundred thirty-three million, four hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 26688 57457 114914 172371 229828 344742 459656 689484 919312 1378968 1838624 2757936 3677248 5515872 7986523 11031744 15973046 23959569 31946092 47919138 63892184 95838276 127784368 191676552 255568736 383353104 511137472 766706208 1533412416