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426032496 = 243223307419
BaseRepresentation
bin11001011001001…
…011110101110000
31002200122200201100
4121121023311300
51333031014441
6110135204400
713362134151
oct3131136560
91080580640
10426032496
111a953657a
12ba816700
136a357746
144081d928
1527606cb6
hex1964bd70

426032496 has 120 divisors (see below), whose sum is σ = 1251169920. Its totient is φ = 135070848.

The previous prime is 426032483. The next prime is 426032501. The reversal of 426032496 is 694230624.

426032496 is a `hidden beast` number, since 4 + 2 + 603 + 2 + 49 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 426032496.

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, 1016575 + ... + 1016993.

It is an arithmetic number, because the mean of its divisors is an integer number (10426416).

Almost surely, 2426032496 is an apocalyptic number.

426032496 is a gapful number since it is divisible by the number (46) 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 426032496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625584960).

426032496 is an abundant number, since it is smaller than the sum of its proper divisors (825137424).

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

426032496 is a wasteful number, since it uses less digits than its factorization.

426032496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 426032496 is about 20640.5546437105. The cubic root of 426032496 is about 752.4556522541.

The spelling of 426032496 in words is "four hundred twenty-six million, thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 307 368 414 419 552 614 828 838 921 1104 1228 1257 1656 1676 1842 2456 2514 2763 3312 3352 3684 3771 4912 5028 5526 6704 7061 7368 7542 9637 10056 11052 14122 14736 15084 19274 20112 21183 22104 28244 28911 30168 38548 42366 44208 56488 57822 60336 63549 77096 84732 86733 112976 115644 127098 128633 154192 169464 173466 231288 254196 257266 338928 346932 385899 462576 508392 514532 693864 771798 1016784 1029064 1157697 1387728 1543596 2058128 2315394 2958559 3087192 4630788 5917118 6174384 8875677 9261576 11834236 17751354 18523152 23668472 26627031 35502708 47336944 53254062 71005416 106508124 142010832 213016248 426032496