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1249554072 = 2331322917489
BaseRepresentation
bin100101001111010…
…1010111010011000
310020002020220221110
41022132222322120
510024341212242
6323554140320
742652014534
oct11236527230
93202226843
101249554072
11591382518
122aa5816a0
1316bb54910
14bbd4cbc4
1574a7839c
hex4a7aae98

1249554072 has 64 divisors (see below), whose sum is σ = 3379068000. Its totient is φ = 382777344.

The previous prime is 1249554049. The next prime is 1249554083. The reversal of 1249554072 is 2704559421.

It is a super-2 number, since 2×12495540722 = 3122770757703562368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1249554072.

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, 62704 + ... + 80192.

Almost surely, 21249554072 is an apocalyptic number.

1249554072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249554072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689534000).

1249554072 is an abundant number, since it is smaller than the sum of its proper divisors (2129513928).

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

1249554072 is a wasteful number, since it uses less digits than its factorization.

1249554072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17740 (or 17736 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 1249554072 is about 35349.0321225348. The cubic root of 1249554072 is about 1077.0892334135.

The spelling of 1249554072 in words is "one billion, two hundred forty-nine million, five hundred fifty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 229 312 458 687 916 1374 1832 2748 2977 5496 5954 8931 11908 17489 17862 23816 34978 35724 52467 69956 71448 104934 139912 209868 227357 419736 454714 682071 909428 1364142 1818856 2728284 4004981 5456568 8009962 12014943 16019924 24029886 32039848 48059772 52064753 96119544 104129506 156194259 208259012 312388518 416518024 624777036 1249554072