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4624430928 = 2431344316729
BaseRepresentation
bin1000100111010001…
…10011011101010000
3102221021200102122120
410103220303131100
533432323242203
62042513334240
7222412004625
oct42350633520
912837612576
104624430928
111a63409447
12a90867380
135890c2480
1431c25a34c
151c0ebbb53
hex113a33750

4624430928 has 80 divisors (see below), whose sum is σ = 12895216320. Its totient is φ = 1419604992.

The previous prime is 4624430897. The next prime is 4624430947. The reversal of 4624430928 is 8290344264.

It is a super-3 number, since 3×46244309283 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4624430928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268068 + ... + 284796.

It is an arithmetic number, because the mean of its divisors is an integer number (161190204).

Almost surely, 24624430928 is an apocalyptic number.

4624430928 is a gapful number since it is divisible by the number (48) 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 4624430928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447608160).

4624430928 is an abundant number, since it is smaller than the sum of its proper divisors (8270785392).

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

4624430928 is a wasteful number, since it uses less digits than its factorization.

4624430928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17196 (or 17190 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4624430928 is about 68003.1685144156. The cubic root of 4624430928 is about 1666.0425888164.

The spelling of 4624430928 in words is "four billion, six hundred twenty-four million, four hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 443 624 886 1329 1772 2658 3544 5316 5759 7088 10632 11518 16729 17277 21264 23036 33458 34554 46072 50187 66916 69108 92144 100374 133832 138216 200748 217477 267664 276432 401496 434954 652431 802992 869908 1304862 1739816 2609724 3479632 5219448 7410947 10438896 14821894 22232841 29643788 44465682 59287576 88931364 96342311 118575152 177862728 192684622 289026933 355725456 385369244 578053866 770738488 1156107732 1541476976 2312215464 4624430928