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2058827424 = 25322379587
BaseRepresentation
bin111101010110111…
…0011011010100000
312022111001021021120
41322231303122200
513204024434144
6540143452240
7102006513213
oct17255633240
95274037246
102058827424
11967177575
124955b7080
1326a7036a4
1415760d77a
15c0b32e19
hex7ab736a0

2058827424 has 48 divisors (see below), whose sum is σ = 5407401888. Its totient is φ = 685897472.

The previous prime is 2058827411. The next prime is 2058827437. The reversal of 2058827424 is 4247288502.

It is an interprime number because it is at equal distance from previous prime (2058827411) and next prime (2058827437).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209959 + ... + 219545.

It is an arithmetic number, because the mean of its divisors is an integer number (112654206).

Almost surely, 22058827424 is an apocalyptic number.

2058827424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2058827424 is an abundant number, since it is smaller than the sum of its proper divisors (3348574464).

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

2058827424 is a wasteful number, since it uses less digits than its factorization.

2058827424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11837 (or 11829 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 2058827424 is about 45374.3035649033. The cubic root of 2058827424 is about 1272.1548603039.

The spelling of 2058827424 in words is "two billion, fifty-eight million, eight hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2237 4474 6711 8948 9587 13422 17896 19174 26844 28761 35792 38348 53688 57522 71584 76696 107376 115044 153392 214752 230088 306784 460176 920352 21446119 42892238 64338357 85784476 128676714 171568952 257353428 343137904 514706856 686275808 1029413712 2058827424