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620464026 = 237133730713
BaseRepresentation
bin100100111110111…
…000011110011010
31121020111211122010
4210332320132122
52232314322101
6141322410350
721242600010
oct4476703632
91536454563
10620464026
11299265896
121539609b6
139b7122a0
145c5928b0
15397112d6
hex24fb879a

620464026 has 64 divisors (see below), whose sum is σ = 1568625408. Its totient is φ = 159211008.

The previous prime is 620463979. The next prime is 620464037.

620464026 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 620463984 and 620464002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4846 + ... + 35558.

It is an arithmetic number, because the mean of its divisors is an integer number (24509772).

Almost surely, 2620464026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 620464026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784312704).

620464026 is an abundant number, since it is smaller than the sum of its proper divisors (948161382).

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

620464026 is a wasteful number, since it uses less digits than its factorization.

620464026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30775.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 620464026 is about 24909.1153194970. The cubic root of 620464026 is about 852.9145742316.

The spelling of 620464026 in words is "six hundred twenty million, four hundred sixty-four thousand, twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 6734 10101 20202 30713 61426 92139 184278 214991 399269 429982 644973 798538 1136381 1197807 1289946 2272762 2395614 2794883 3409143 5589766 6818286 7954667 8384649 14772953 15909334 16769298 23864001 29545906 44318859 47728002 88637718 103410671 206821342 310232013 620464026