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624006990 = 2355491523
BaseRepresentation
bin100101001100011…
…001011101001110
31121111011211200000
4211030121131032
52234221210430
6141530345130
721314654235
oct4514313516
91544154600
10624006990
112a0265762
12154b8b1a6
139c382b09
145cc35b1c
1539bb0e60
hex2531974e

624006990 has 96 divisors (see below), whose sum is σ = 1689158016. Its totient is φ = 165745440.

The previous prime is 624006973. The next prime is 624007037. The reversal of 624006990 is 99600426.

624006990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1192869 + ... + 1193391.

It is an arithmetic number, because the mean of its divisors is an integer number (17595396).

Almost surely, 2624006990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 624006990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844579008).

624006990 is an abundant number, since it is smaller than the sum of its proper divisors (1065151026).

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

624006990 is a wasteful number, since it uses less digits than its factorization.

624006990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 624006990 is about 24980.1319051762. The cubic root of 624006990 is about 854.5349271273.

The spelling of 624006990 in words is "six hundred twenty-four million, six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 491 523 810 982 1046 1215 1473 1569 2430 2455 2615 2946 3138 4419 4707 4910 5230 7365 7845 8838 9414 13257 14121 14730 15690 22095 23535 26514 28242 39771 42363 44190 47070 66285 70605 79542 84726 119313 127089 132570 141210 198855 211815 238626 254178 256793 397710 423630 513586 596565 635445 770379 1193130 1270890 1283965 1540758 2311137 2567930 3851895 4622274 6933411 7703790 11555685 13866822 20800233 23111370 34667055 41600466 62400699 69334110 104001165 124801398 208002330 312003495 624006990