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4697442048 = 283131924763
BaseRepresentation
bin1000101111111110…
…10100011100000000
3110010101001210002010
410113333110130000
534110021121143
62054042252520
7224256412215
oct42777243400
913111053063
104697442048
111aa0646812
12ab11b7140
1359b276710
14327c23b0c
151c75dea33
hex117fd4700

4697442048 has 144 divisors (see below), whose sum is σ = 14172932480. Its totient is φ = 1369239552.

The previous prime is 4697442031. The next prime is 4697442049. The reversal of 4697442048 is 8402447964.

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

It is a junction number, because it is equal to n+sod(n) for n = 4697441988 and 4697442006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4697442049) 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, 177315 + ... + 202077.

Almost surely, 24697442048 is an apocalyptic number.

4697442048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4697442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086466240).

4697442048 is an abundant number, since it is smaller than the sum of its proper divisors (9475490432).

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

4697442048 is a wasteful number, since it uses less digits than its factorization.

4697442048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24814 (or 24800 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 4697442048 is about 68537.8876826533. The cubic root of 4697442048 is about 1674.7647458120.

The spelling of 4697442048 in words is "four billion, six hundred ninety-seven million, four hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 608 624 741 768 832 912 988 1216 1248 1482 1664 1824 1976 2432 2496 2964 3328 3648 3952 4864 4992 5928 7296 7904 9984 11856 14592 15808 23712 24763 31616 47424 49526 63232 74289 94848 99052 148578 189696 198104 297156 321919 396208 470497 594312 643838 792416 940994 965757 1188624 1287676 1411491 1584832 1881988 1931514 2377248 2575352 2822982 3169664 3763976 3863028 4754496 5150704 5645964 6116461 6339328 7527952 7726056 9508992 10301408 11291928 12232922 15055904 15452112 18349383 19017984 20602816 22583856 24465844 30111808 30904224 36698766 41205632 45167712 48931688 60223616 61808448 73397532 82411264 90335424 97863376 120447232 123616896 146795064 180670848 195726752 247233792 293590128 361341696 391453504 587180256 782907008 1174360512 1565814016 2348721024 4697442048