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1253404464 = 2431319711489
BaseRepresentation
bin100101010110101…
…0110111100110000
310020100111112200120
41022231112330300
510031332420324
6324212450240
743026522264
oct11255267460
93210445616
101253404464
11593572364
122ab919980
1316c8a2360
14bc6720a4
1575089179
hex4ab56f30

1253404464 has 160 divisors (see below), whose sum is σ = 3724761600. Its totient is φ = 359976960.

The previous prime is 1253404433. The next prime is 1253404469. The reversal of 1253404464 is 4644043521.

It is a happy number.

1253404464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1253404469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841032 + ... + 842520.

It is an arithmetic number, because the mean of its divisors is an integer number (23279760).

Almost surely, 21253404464 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 1253404464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862380800).

1253404464 is an abundant number, since it is smaller than the sum of its proper divisors (2471357136).

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

1253404464 is a wasteful number, since it uses less digits than its factorization.

1253404464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 1253404464 is about 35403.4527129770. The cubic root of 1253404464 is about 1078.1944178886.

Adding to 1253404464 its reverse (4644043521), we get a palindrome (5897447985).

The spelling of 1253404464 in words is "one billion, two hundred fifty-three million, four hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 71 76 78 104 114 142 152 156 208 213 228 247 284 304 312 426 456 494 568 624 741 852 912 923 988 1136 1349 1482 1489 1704 1846 1976 2698 2769 2964 2978 3408 3692 3952 4047 4467 5396 5538 5928 5956 7384 8094 8934 10792 11076 11856 11912 14768 16188 17537 17868 19357 21584 22152 23824 28291 32376 35074 35736 38714 44304 52611 56582 58071 64752 70148 71472 77428 84873 105222 105719 113164 116142 140296 154856 169746 210444 211438 226328 232284 280592 309712 317157 339492 367783 420888 422876 452656 464568 634314 678984 735566 841776 845752 929136 1103349 1268628 1357968 1374347 1471132 1691504 2008661 2206698 2537256 2748694 2942264 4017322 4123041 4413396 5074512 5497388 5884528 6025983 8034644 8246082 8826792 10994776 12051966 16069288 16492164 17653584 21989552 24103932 26112593 32138576 32984328 48207864 52225186 65968656 78337779 96415728 104450372 156675558 208900744 313351116 417801488 626702232 1253404464