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5486908460 = 22511297091213
BaseRepresentation
bin1010001110000101…
…11001010000101100
3112011101120211101212
411013002321100230
542214122032320
62304243253552
7252653644445
oct50702712054
915141524355
105486908460
1123662425a0
12109167a2b8
136959abbc7
143a0a0a2cc
15221a859c5
hex1470b942c

5486908460 has 96 divisors (see below), whose sum is σ = 13032532800. Its totient is φ = 1922135040.

The previous prime is 5486908433. The next prime is 5486908487. The reversal of 5486908460 is 648096845.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5486908433) and next prime (5486908487).

It is a junction number, because it is equal to n+sod(n) for n = 5486908399 and 5486908408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4522814 + ... + 4524026.

It is an arithmetic number, because the mean of its divisors is an integer number (135755550).

Almost surely, 25486908460 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 5486908460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516266400).

5486908460 is an abundant number, since it is smaller than the sum of its proper divisors (7545624340).

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

5486908460 is a wasteful number, since it uses less digits than its factorization.

5486908460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The square root of 5486908460 is about 74073.6691409302. The cubic root of 5486908460 is about 1763.7725187125.

The spelling of 5486908460 in words is "five billion, four hundred eighty-six million, nine hundred eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 709 1213 1276 1418 1595 2426 2836 3190 3545 4852 6065 6380 7090 7799 12130 13343 14180 15598 20561 24260 26686 31196 35177 38995 41122 53372 66715 70354 77990 82244 102805 133430 140708 155980 175885 205610 226171 266860 351770 386947 411220 452342 703540 773894 860017 904684 1130855 1547788 1720034 1934735 2261710 3440068 3869470 4300085 4523420 7738940 8600170 9460187 17200340 18920374 24940493 37840748 47300935 49880986 94601870 99761972 124702465 189203740 249404930 274345423 498809860 548690846 1097381692 1371727115 2743454230 5486908460