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1249399416 = 2331911324247
BaseRepresentation
bin100101001111000…
…0101001001111000
310020001222001210110
41022132011021320
510024321240131
6323550544320
742650501616
oct11236051170
93201861713
101249399416
11591287301
122aa5080a0
1316bacc3c5
14bbd0c6b6
1574a47646
hex4a785278

1249399416 has 64 divisors (see below), whose sum is σ = 3317126400. Its totient is φ = 391039488.

The previous prime is 1249399351. The next prime is 1249399423. The reversal of 1249399416 is 6149939421.

It is a happy number.

It is a super-3 number, since 3×12493994163 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 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, 39405 + ... + 63651.

It is an arithmetic number, because the mean of its divisors is an integer number (51830100).

Almost surely, 21249399416 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 1249399416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658563200).

1249399416 is an abundant number, since it is smaller than the sum of its proper divisors (2067726984).

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

1249399416 is a wasteful number, since it uses less digits than its factorization.

1249399416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24388 (or 24384 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 1249399416 is about 35346.8444984839. The cubic root of 1249399416 is about 1077.0447948442.

The spelling of 1249399416 in words is "one billion, two hundred forty-nine million, three hundred ninety-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 113 114 152 226 228 339 452 456 678 904 1356 2147 2712 4294 6441 8588 12882 17176 24247 25764 48494 51528 72741 96988 145482 193976 290964 460693 581928 921386 1382079 1842772 2739911 2764158 3685544 5479822 5528316 8219733 10959644 11056632 16439466 21919288 32878932 52058309 65757864 104116618 156174927 208233236 312349854 416466472 624699708 1249399416