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4145232 = 243713273
BaseRepresentation
bin1111110100000001010000
321210121012010
433310001100
52030121412
6224502520
750143140
oct17640120
97717163
104145232
112381413
12147aa40
13b21a00
1479c920
1556d33c
hex3f4050

4145232 has 120 divisors (see below), whose sum is σ = 13433664. Its totient is φ = 1078272.

The previous prime is 4145213. The next prime is 4145257. The reversal of 4145232 is 2325414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 4145199 and 4145208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56748 + ... + 56820.

Almost surely, 24145232 is an apocalyptic number.

4145232 is a gapful number since it is divisible by the number (42) 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 4145232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716832).

4145232 is an abundant number, since it is smaller than the sum of its proper divisors (9288432).

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

4145232 is a wasteful number, since it uses less digits than its factorization.

4145232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 4145232 is about 2035.9842828470. The cubic root of 4145232 is about 160.6384903405.

The spelling of 4145232 in words is "four million, one hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 73 78 84 91 104 112 146 156 168 169 182 208 219 273 292 312 336 338 364 438 507 511 546 584 624 676 728 876 949 1014 1022 1092 1168 1183 1352 1456 1533 1752 1898 2028 2044 2184 2366 2704 2847 3066 3504 3549 3796 4056 4088 4368 4732 5694 6132 6643 7098 7592 8112 8176 9464 11388 12264 12337 13286 14196 15184 18928 19929 22776 24528 24674 26572 28392 37011 39858 45552 49348 53144 56784 74022 79716 86359 98696 106288 148044 159432 172718 197392 259077 296088 318864 345436 518154 592176 690872 1036308 1381744 2072616 4145232