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42859732224 = 28379706417
BaseRepresentation
bin100111111010101000…
…111001110100000000
311002121222010222121210
4213322220321310000
51200234042412344
631404532450120
73045050466351
oct477250716400
9132558128553
1042859732224
11171a4224201
128381779940
1340706948ca
1421082ddd28
1511acabedb9
hex9faa39d00

42859732224 has 72 divisors (see below), whose sum is σ = 115513471360. Its totient is φ = 14105714688.

The previous prime is 42859732213. The next prime is 42859732273. The reversal of 42859732224 is 42223795824.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 292537 + ... + 413880.

Almost surely, 242859732224 is an apocalyptic number.

It is an amenable number.

42859732224 is an abundant number, since it is smaller than the sum of its proper divisors (72653739136).

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

42859732224 is an equidigital number, since it uses as much as digits as its factorization.

42859732224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706515 (or 706501 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 42859732224 in words is "forty-two billion, eight hundred fifty-nine million, seven hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2528 3792 5056 7584 10112 15168 20224 30336 60672 706417 1412834 2119251 2825668 4238502 5651336 8477004 11302672 16954008 22605344 33908016 45210688 55806943 67816032 90421376 111613886 135632064 167420829 180842752 223227772 271264128 334841658 446455544 542528256 669683316 892911088 1339366632 1785822176 2678733264 3571644352 5357466528 7143288704 10714933056 14286577408 21429866112 42859732224