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4136482272 = 253133123449
BaseRepresentation
bin1111011010001101…
…1011010111100000
3101200021112001221010
43312203123113200
531432414413042
61522243100520
7204335343036
oct36643332740
911607461833
104136482272
111832a3339a
12975371740
1350bc99860
142b3520556
1519323459c
hexf68db5e0

4136482272 has 144 divisors (see below), whose sum is σ = 12086398800. Its totient is φ = 1231349760.

The previous prime is 4136482261. The next prime is 4136482277. The reversal of 4136482272 is 2722846314.

It is a happy number.

It is a super-2 number, since 2×41364822722 = 34220971173140563968, 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 4136482272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136482277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197604 + ... + 1201052.

It is an arithmetic number, because the mean of its divisors is an integer number (83933325).

Almost surely, 24136482272 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 4136482272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043199400).

4136482272 is an abundant number, since it is smaller than the sum of its proper divisors (7949916528).

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

4136482272 is a wasteful number, since it uses less digits than its factorization.

4136482272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3498 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 4136482272 is about 64315.4901404009. The cubic root of 4136482272 is about 1605.2538583910.

The spelling of 4136482272 in words is "four billion, one hundred thirty-six million, four hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 961 992 1209 1248 1488 1612 1922 2418 2883 2976 3224 3449 3844 4836 5766 6448 6898 7688 9672 10347 11532 12493 12896 13796 15376 19344 20694 23064 24986 27592 30752 37479 38688 41388 44837 46128 49972 55184 74958 82776 89674 92256 99944 106919 110368 134511 149916 165552 179348 199888 213838 269022 299832 320757 331104 358696 399776 427676 538044 599664 641514 717392 855352 1076088 1199328 1283028 1389947 1434784 1710704 2152176 2566056 2779894 3314489 3421408 4169841 4304352 5132112 5559788 6628978 8339682 9943467 10264224 11119576 13257956 16679364 19886934 22239152 26515912 33358728 39773868 43088357 44478304 53031824 66717456 79547736 86176714 106063648 129265071 133434912 159095472 172353428 258530142 318190944 344706856 517060284 689413712 1034120568 1378827424 2068241136 4136482272