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4742760440 = 2351181113291
BaseRepresentation
bin1000110101011000…
…01100011111111000
3110020112100012020002
410122230030133320
534203121313230
62102341452132
7225346540625
oct43254143770
913215305202
104742760440
11201418a130
12b04411048
135a7782c32
1432dc5d34c
151cb592545
hex11ab0c7f8

4742760440 has 64 divisors (see below), whose sum is σ = 11656552320. Its totient is φ = 1722384000.

The previous prime is 4742760439. The next prime is 4742760457. The reversal of 4742760440 is 440672474.

It is a junction number, because it is equal to n+sod(n) for n = 4742760394 and 4742760403.

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 15 ways as a sum of consecutive naturals, for example, 350195 + ... + 363485.

It is an arithmetic number, because the mean of its divisors is an integer number (182133630).

Almost surely, 24742760440 is an apocalyptic number.

4742760440 is a gapful number since it is divisible by the number (40) 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 4742760440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828276160).

4742760440 is an abundant number, since it is smaller than the sum of its proper divisors (6913791880).

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

4742760440 is a wasteful number, since it uses less digits than its factorization.

4742760440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14124 (or 14120 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 38.

The square root of 4742760440 is about 68867.7024446148. The cubic root of 4742760440 is about 1680.1332613490.

The spelling of 4742760440 in words is "four billion, seven hundred forty-two million, seven hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 811 1622 3244 4055 6488 8110 8921 13291 16220 17842 26582 32440 35684 44605 53164 66455 71368 89210 106328 132910 146201 178420 265820 292402 356840 531640 584804 731005 1169608 1462010 2924020 5848040 10779001 21558002 43116004 53895005 86232008 107790010 118569011 215580020 237138022 431160040 474276044 592845055 948552088 1185690110 2371380220 4742760440