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5625396928 = 261272572693
BaseRepresentation
bin1010011110100110…
…01011111011000000
3112112001011202212101
411033103023323000
543010100200203
62330111440144
7256255041064
oct51723137300
915461152771
105625396928
112427431a78
12110bb26054
136b85aa248
143b5179aa4
1522dcde41d
hex14f4cbec0

5625396928 has 56 divisors (see below), whose sum is σ = 11298765312. Its totient is φ = 2778660864.

The previous prime is 5625396893. The next prime is 5625396943. The reversal of 5625396928 is 8296935265.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2087550 + ... + 2090242.

Almost surely, 25625396928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5625396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649382656).

5625396928 is an abundant number, since it is smaller than the sum of its proper divisors (5673368384).

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

5625396928 is a wasteful number, since it uses less digits than its factorization.

5625396928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3079 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 55.

The square root of 5625396928 is about 75002.6461399863. The cubic root of 5625396928 is about 1778.4884832773.

It can be divided in two parts, 56253 and 96928, that added together give a triangular number (153181 = T553).

The spelling of 5625396928 in words is "five billion, six hundred twenty-five million, three hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 127 254 257 508 514 1016 1028 2032 2056 2693 4064 4112 5386 8128 8224 10772 16448 21544 32639 43088 65278 86176 130556 172352 261112 342011 522224 684022 692101 1044448 1368044 1384202 2088896 2736088 2768404 5472176 5536808 10944352 11073616 21888704 22147232 44294464 87896827 175793654 351587308 703174616 1406349232 2812698464 5625396928