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468198740 = 22537897109
BaseRepresentation
bin11011111010000…
…010010101010100
31012121222221221002
4123322002111110
51424324324430
6114243042432
714413423622
oct3372022524
91177887832
10468198740
11220316709
12110970418
1375ccc299
1446278512
152b185845
hex1be82554

468198740 has 48 divisors (see below), whose sum is σ = 1021280400. Its totient is φ = 180145152.

The previous prime is 468198701. The next prime is 468198763. The reversal of 468198740 is 47891864.

It can be written as a sum of positive squares in 8 ways, for example, as 19945156 + 448253584 = 4466^2 + 21172^2 .

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, 62306 + ... + 69414.

It is an arithmetic number, because the mean of its divisors is an integer number (21276675).

Almost surely, 2468198740 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 468198740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510640200).

468198740 is an abundant number, since it is smaller than the sum of its proper divisors (553081660).

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

468198740 is a wasteful number, since it uses less digits than its factorization.

468198740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 468198740 is about 21637.9005451083. The cubic root of 468198740 is about 776.5034927291.

The spelling of 468198740 in words is "four hundred sixty-eight million, one hundred ninety-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 74 89 148 178 185 356 370 445 740 890 1780 3293 6586 7109 13172 14218 16465 28436 32930 35545 65860 71090 142180 263033 526066 632701 1052132 1265402 1315165 2530804 2630330 3163505 5260660 6327010 12654020 23409937 46819874 93639748 117049685 234099370 468198740