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2059405152 = 25373064591
BaseRepresentation
bin111101011000000…
…0000011101100000
312022112010121202220
41322300000131200
513204201431102
6540204111040
7102014440440
oct17260003540
95275117686
102059405152
11967531632
12495835480
1326a87663c
14157720120
15c0be91bc
hex7ac00760

2059405152 has 48 divisors (see below), whose sum is σ = 6178217472. Its totient is φ = 588401280.

The previous prime is 2059405147. The next prime is 2059405181. The reversal of 2059405152 is 2515049502.

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

It is a super-2 number, since 2×20594051522 = 8482299160168286208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1531624 + ... + 1532967.

It is an arithmetic number, because the mean of its divisors is an integer number (128712864).

Almost surely, 22059405152 is an apocalyptic number.

It is an amenable number.

2059405152 is an abundant number, since it is smaller than the sum of its proper divisors (4118812320).

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

2059405152 is a wasteful number, since it uses less digits than its factorization.

2059405152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064611 (or 3064603 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 2059405152 is about 45380.6693648298. The cubic root of 2059405152 is about 1272.2738423905.

The spelling of 2059405152 in words is "two billion, fifty-nine million, four hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3064591 6129182 9193773 12258364 18387546 21452137 24516728 36775092 42904274 49033456 64356411 73550184 85808548 98066912 128712822 147100368 171617096 257425644 294200736 343234192 514851288 686468384 1029702576 2059405152