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4748328 = 2333131989
BaseRepresentation
bin10010000111010000101000
322221020111000
4102013100220
52203421303
6245435000
755234344
oct22072050
98836430
104748328
112753542
12170ba60
13ca3380
148b8624
1563bda3
hex487428

4748328 has 128 divisors (see below), whose sum is σ = 15120000. Its totient is φ = 1368576.

The previous prime is 4748299. The next prime is 4748351. The reversal of 4748328 is 8238474.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 4748292 and 4748301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53308 + ... + 53396.

It is an arithmetic number, because the mean of its divisors is an integer number (118125).

Almost surely, 24748328 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 4748328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560000).

4748328 is an abundant number, since it is smaller than the sum of its proper divisors (10371672).

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

4748328 is a wasteful number, since it uses less digits than its factorization.

4748328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4748328 is about 2179.0658549020. The cubic root of 4748328 is about 168.0790444362.

The spelling of 4748328 in words is "four million, seven hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 89 104 108 114 117 152 156 171 178 216 228 234 247 267 312 342 351 356 456 468 494 513 534 684 702 712 741 801 936 988 1026 1068 1157 1368 1404 1482 1602 1691 1976 2052 2136 2223 2314 2403 2808 2964 3204 3382 3471 4104 4446 4628 4806 5073 5928 6408 6669 6764 6942 8892 9256 9612 10146 10413 13338 13528 13884 15219 17784 19224 20292 20826 21983 26676 27768 30438 31239 40584 41652 43966 45657 53352 60876 62478 65949 83304 87932 91314 121752 124956 131898 175864 182628 197847 249912 263796 365256 395694 527592 593541 791388 1187082 1582776 2374164 4748328