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5034440952 = 23352839151
BaseRepresentation
bin1001011000001001…
…10111100011111000
3110222212012002200000
410230010313203320
540302304102302
62151321313000
7235521020262
oct45404674370
913885162600
105034440952
1121538a1002
12b86035760
1362302a058
1435a8a8b32
151e6eab31c
hex12c1378f8

5034440952 has 96 divisors (see below), whose sum is σ = 14191457280. Its totient is φ = 1672034400.

The previous prime is 5034440899. The next prime is 5034440953. The reversal of 5034440952 is 2590444305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5034440953) 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, 545577 + ... + 554727.

It is an arithmetic number, because the mean of its divisors is an integer number (147827680).

Almost surely, 25034440952 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 5034440952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095728640).

5034440952 is an abundant number, since it is smaller than the sum of its proper divisors (9157016328).

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

5034440952 is a wasteful number, since it uses less digits than its factorization.

5034440952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9455 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5034440952 is about 70953.7944862711. The cubic root of 5034440952 is about 1713.8931794819.

The spelling of 5034440952 in words is "five billion, thirty-four million, four hundred forty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 283 324 486 566 648 849 972 1132 1698 1944 2264 2547 3396 5094 6792 7641 9151 10188 15282 18302 20376 22923 27453 30564 36604 45846 54906 61128 68769 73208 82359 91692 109812 137538 164718 183384 219624 247077 275076 329436 494154 550152 658872 741231 988308 1482462 1976616 2223693 2589733 2964924 4447386 5179466 5929848 7769199 8894772 10358932 15538398 17789544 20717864 23307597 31076796 46615194 62153592 69922791 93230388 139845582 186460776 209768373 279691164 419536746 559382328 629305119 839073492 1258610238 1678146984 2517220476 5034440952