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3924707490 = 23251110139251
BaseRepresentation
bin1110100111101110…
…0100100010100010
3101010112000210112200
43221323210202202
531014211114430
61445240034030
7166154314614
oct35173444242
911115023480
103924707490
111734438910
12916462916
134a714bc32
14293354db4
1517e851460
hexe9ee48a2

3924707490 has 96 divisors (see below), whose sum is σ = 11242400832. Its totient is φ = 942000000.

The previous prime is 3924707473. The next prime is 3924707497. The reversal of 3924707490 is 947074293.

3924707490 is a `hidden beast` number, since 3 + 92 + 4 + 70 + 7 + 490 = 666.

3924707490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3924707497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80365 + ... + 119615.

It is an arithmetic number, because the mean of its divisors is an integer number (117108342).

Almost surely, 23924707490 is an apocalyptic number.

3924707490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3924707490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621200416).

3924707490 is an abundant number, since it is smaller than the sum of its proper divisors (7317693342).

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

3924707490 is a wasteful number, since it uses less digits than its factorization.

3924707490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39376 (or 39373 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3924707490 is about 62647.4859032667. The cubic root of 3924707490 is about 1577.3779468777.

The spelling of 3924707490 in words is "three billion, nine hundred twenty-four million, seven hundred seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 101 110 165 198 202 303 330 495 505 606 909 990 1010 1111 1515 1818 2222 3030 3333 4545 5555 6666 9090 9999 11110 16665 19998 33330 39251 49995 78502 99990 117753 196255 235506 353259 392510 431761 588765 706518 863522 1177530 1295283 1766295 2158805 2590566 3532590 3885849 3964351 4317610 6476415 7771698 7928702 11893053 12952830 19429245 19821755 23786106 35679159 38858490 39643510 43607861 59465265 71358318 87215722 118930530 130823583 178395795 218039305 261647166 356791590 392470749 436078610 654117915 784941498 1308235830 1962353745 3924707490