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774014148 = 2232171936553
BaseRepresentation
bin101110001000101…
…000010011000100
31222221102222210200
4232020220103010
53041121423043
6204445450500
725116004005
oct5610502304
91887388720
10774014148
11367a02316
12197270a30
13c448504b
1474b231ac
1547e427d3
hex2e2284c4

774014148 has 72 divisors (see below), whose sum is σ = 2082677688. Its totient is φ = 241532928.

The previous prime is 774014141. The next prime is 774014149. The reversal of 774014148 is 841410477.

It can be written as a sum of positive squares in 4 ways, for example, as 78004224 + 696009924 = 8832^2 + 26382^2 .

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

It is not an unprimeable number, because it can be changed into a prime (774014141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114840 + ... + 121392.

It is an arithmetic number, because the mean of its divisors is an integer number (28926079).

Almost surely, 2774014148 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 774014148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041338844).

774014148 is an abundant number, since it is smaller than the sum of its proper divisors (1308663540).

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

774014148 is a wasteful number, since it uses less digits than its factorization.

774014148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773 (or 6768 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 774014148 is about 27821.1097550044. The cubic root of 774014148 is about 918.1556260001.

The spelling of 774014148 in words is "seven hundred seventy-four million, fourteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 193 204 306 386 579 612 772 1158 1737 2316 3281 3474 6553 6562 6948 9843 13106 13124 19659 19686 26212 29529 39318 39372 58977 59058 78636 111401 117954 118116 222802 235908 334203 445604 668406 1002609 1264729 1336812 2005218 2529458 3794187 4010436 5058916 7588374 11382561 15176748 21500393 22765122 43000786 45530244 64501179 86001572 129002358 193503537 258004716 387007074 774014148