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1244465152 = 2117212401
BaseRepresentation
bin100101000101101…
…0000100000000000
310012201200101020221
41022023100200000
510022040341102
6323253112424
742560531200
oct11213204000
93181611227
101244465152
115895170a7
122a8928714
1316aa92518
14bb3c6400
15743c0637
hex4a2d0800

1244465152 has 72 divisors (see below), whose sum is σ = 2894812830. Its totient is φ = 533299200.

The previous prime is 1244465149. The next prime is 1244465153. The reversal of 1244465152 is 2515644421.

It can be written as a sum of positive squares in only one way, i.e., 1113957376 + 130507776 = 33376^2 + 11424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244465153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94152 + ... + 106552.

Almost surely, 21244465152 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 1244465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447406415).

1244465152 is an abundant number, since it is smaller than the sum of its proper divisors (1650347678).

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

1244465152 is an equidigital number, since it uses as much as digits as its factorization.

1244465152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12437 (or 12410 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

The square root of 1244465152 is about 35276.9776483190. The cubic root of 1244465152 is about 1075.6250634172.

The spelling of 1244465152 in words is "one billion, two hundred forty-four million, four hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 6272 7168 12401 12544 14336 24802 25088 49604 50176 86807 99208 100352 173614 198416 347228 396832 607649 694456 793664 1215298 1388912 1587328 2430596 2777824 3174656 4861192 5555648 6349312 9722384 11111296 12698624 19444768 22222592 25397248 38889536 44445184 77779072 88890368 155558144 177780736 311116288 622232576 1244465152