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4351968 = 25342373
BaseRepresentation
bin10000100110011111100000
322012002210000
4100212133200
52103230333
6233140000
751663645
oct20463740
98162700
104351968
112502775
12155a600
13b94b3a
14813dcc
155ae713
hex4267e0

4351968 has 120 divisors (see below), whose sum is σ = 13538448. Its totient is φ = 1368576.

The previous prime is 4351967. The next prime is 4351979. The reversal of 4351968 is 8691534.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4351967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59580 + ... + 59652.

Almost surely, 24351968 is an apocalyptic number.

4351968 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 4351968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769224).

4351968 is an abundant number, since it is smaller than the sum of its proper divisors (9186480).

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

4351968 is a wasteful number, since it uses less digits than its factorization.

4351968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4351968 is about 2086.1371000009. The cubic root of 4351968 is about 163.2658039134.

The spelling of 4351968 in words is "four million, three hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 73 81 92 96 108 138 144 146 162 184 207 216 219 276 288 292 324 368 414 432 438 552 584 621 648 657 736 828 864 876 1104 1168 1242 1296 1314 1656 1679 1752 1863 1971 2208 2336 2484 2592 2628 3312 3358 3504 3726 3942 4968 5037 5256 5913 6624 6716 7008 7452 7884 9936 10074 10512 11826 13432 14904 15111 15768 19872 20148 21024 23652 26864 29808 30222 31536 40296 45333 47304 53728 59616 60444 63072 80592 90666 94608 120888 135999 161184 181332 189216 241776 271998 362664 483552 543996 725328 1087992 1450656 2175984 4351968