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4632740244 = 2234111776463
BaseRepresentation
bin1000101000010001…
…00000000110010100
3102221212022120220000
410110020200012110
533441440141434
62043411411300
7222542433216
oct42410400624
912855276800
104632740244
111a68074350
12a935b3b30
1358aa41622
1431d3c05b6
151c1aadb99
hex114220194

4632740244 has 120 divisors (see below), whose sum is σ = 13989241728. Its totient is φ = 1321263360.

The previous prime is 4632740237. The next prime is 4632740251. The reversal of 4632740244 is 4420472364.

It is an interprime number because it is at equal distance from previous prime (4632740237) and next prime (4632740251).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4632740199 and 4632740208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22357 + ... + 98819.

Almost surely, 24632740244 is an apocalyptic number.

4632740244 is a gapful number since it is divisible by the number (44) 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 4632740244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994620864).

4632740244 is an abundant number, since it is smaller than the sum of its proper divisors (9356501484).

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

4632740244 is a wasteful number, since it uses less digits than its factorization.

4632740244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76507 (or 76496 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 4632740244 is about 68064.2361596749. The cubic root of 4632740244 is about 1667.0398568223.

The spelling of 4632740244 in words is "four billion, six hundred thirty-two million, seven hundred forty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 297 306 324 374 396 459 561 594 612 748 891 918 1122 1188 1377 1683 1782 1836 2244 2754 3366 3564 5049 5508 6732 10098 15147 20196 30294 60588 76463 152926 229389 305852 458778 688167 841093 917556 1299871 1376334 1682186 2064501 2523279 2599742 2752668 3364372 3899613 4129002 5046558 5199484 6193503 7569837 7799226 8258004 10093116 11698839 12387006 14298581 15139674 15598452 22709511 23397678 24774012 28597162 30279348 35096517 42895743 45419022 46795356 57194324 68128533 70193034 85791486 90838044 105289551 128687229 136257066 140386068 171582972 210579102 257374458 272514132 386061687 421158204 514748916 772123374 1158185061 1544246748 2316370122 4632740244