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2042467896 = 233723796691
BaseRepresentation
bin111100110111101…
…1001011000111000
312021100021010020010
41321233121120320
513140332433041
6534401101520
7101420455620
oct17157313070
95240233203
102042467896
11958a133a7
124900278a0
132671c62b1
14155391880
15be4a0a16
hex79bd9638

2042467896 has 128 divisors (see below), whose sum is σ = 6167347200. Its totient is φ = 551041920.

The previous prime is 2042467877. The next prime is 2042467897. The reversal of 2042467896 is 6987642402.

2042467896 is a modest number, since divided by 67896 gives 20424 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042467897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301911 + ... + 308601.

It is an arithmetic number, because the mean of its divisors is an integer number (48182400).

Almost surely, 22042467896 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 2042467896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083673600).

2042467896 is an abundant number, since it is smaller than the sum of its proper divisors (4124879304).

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

2042467896 is a wasteful number, since it uses less digits than its factorization.

2042467896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2042467896 is about 45193.6709728254. The cubic root of 2042467896 is about 1268.7763641427.

The spelling of 2042467896 in words is "two billion, forty-two million, four hundred sixty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 79 84 92 138 158 161 168 184 237 276 316 322 474 483 552 553 632 644 948 966 1106 1288 1659 1817 1896 1932 2212 3318 3634 3864 4424 5451 6636 6691 7268 10902 12719 13272 13382 14536 20073 21804 25438 26764 38157 40146 43608 46837 50876 53528 76314 80292 93674 101752 140511 152628 153893 160584 187348 281022 305256 307786 374696 461679 528589 562044 615572 923358 1057178 1077251 1124088 1231144 1585767 1846716 2114356 2154502 3171534 3231753 3693432 3700123 4228712 4309004 6343068 6463506 7400246 8618008 11100369 12157547 12686136 12927012 14800492 22200738 24315094 25854024 29600984 36472641 44401476 48630188 72945282 85102829 88802952 97260376 145890564 170205658 255308487 291781128 340411316 510616974 680822632 1021233948 2042467896