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4768187640 = 233574353479
BaseRepresentation
bin1000111000011010…
…01100010011111000
3110022022012000210020
410130031030103320
534231124001030
62105050450440
7226105632456
oct43415142370
913268160706
104768187640
112027576a47
12b10a33a20
135acb16708
1433339b9d6
151cd916510
hex11c34c4f8

4768187640 has 64 divisors (see below), whose sum is σ = 14324083200. Its totient is φ = 1269781632.

The previous prime is 4768187621. The next prime is 4768187653. The reversal of 4768187640 is 467818674.

It is a happy number.

It is a super-2 number, since 2×47681876402 = 45471226740497539200, 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 15 ways as a sum of consecutive naturals, for example, 62421 + ... + 115899.

It is an arithmetic number, because the mean of its divisors is an integer number (223813800).

Almost surely, 24768187640 is an apocalyptic number.

4768187640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4768187640 is an abundant number, since it is smaller than the sum of its proper divisors (9555895560).

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

4768187640 is a wasteful number, since it uses less digits than its factorization.

4768187640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54236 (or 54232 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 4768187640 is about 69052.0647048298. The cubic root of 4768187640 is about 1683.1304585315.

The spelling of 4768187640 in words is "four billion, seven hundred sixty-eight million, one hundred eighty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 743 1486 2229 2972 3715 4458 5944 7430 8916 11145 14860 17832 22290 29720 44580 53479 89160 106958 160437 213916 267395 320874 427832 534790 641748 802185 1069580 1283496 1604370 2139160 3208740 6417480 39734897 79469794 119204691 158939588 198674485 238409382 317879176 397348970 476818764 596023455 794697940 953637528 1192046910 1589395880 2384093820 4768187640