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2042644928 = 261729411579
BaseRepresentation
bin111100111000000…
…0100100111000000
312021100121010001212
41321300010213000
513140404114203
6534404545252
7101422124012
oct17160044700
95240533055
102042644928
11959024405
124900b2228
13267258a4c
141553da1b2
15be4d81d8
hex79c049c0

2042644928 has 112 divisors (see below), whose sum is σ = 4550968800. Its totient is φ = 904888320.

The previous prime is 2042644921. The next prime is 2042644939. The reversal of 2042644928 is 8294462402.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042644921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1292843 + ... + 1294421.

It is an arithmetic number, because the mean of its divisors is an integer number (40633650).

Almost surely, 22042644928 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 2042644928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275484400).

2042644928 is an abundant number, since it is smaller than the sum of its proper divisors (2508323872).

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

2042644928 is a wasteful number, since it uses less digits than its factorization.

2042644928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The square root of 2042644928 is about 45195.6295232183. The cubic root of 2042644928 is about 1268.8130203742.

The spelling of 2042644928 in words is "two billion, forty-two million, six hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 41 58 64 68 82 116 136 164 232 272 328 464 493 544 656 697 928 986 1088 1189 1312 1394 1579 1856 1972 2378 2624 2788 3158 3944 4756 5576 6316 7888 9512 11152 12632 15776 19024 20213 22304 25264 26843 31552 38048 40426 44608 45791 50528 53686 64739 76096 80852 91582 101056 107372 129478 161704 183164 214744 258956 323408 366328 429488 517912 646816 732656 778447 858976 1035824 1100563 1293632 1465312 1556894 1717952 1877431 2071648 2201126 2930624 3113788 3754862 4143296 4402252 6227576 7509724 8804504 12455152 15019448 17609008 24910304 30038896 31916327 35218016 49820608 60077792 63832654 70436032 120155584 127665308 255330616 510661232 1021322464 2042644928