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2674449252 = 223529791201
BaseRepresentation
bin1001111101101000…
…1101101101100100
320220101110002200000
42133122031231210
520434124334002
61121214421300
7123163305066
oct23732155544
96811402600
102674449252
111152725342
12627801830
1333810b967
141b52a1736
15109bd961c
hex9f68db64

2674449252 has 144 divisors (see below), whose sum is σ = 7350470400. Its totient is φ = 849139200.

The previous prime is 2674449247. The next prime is 2674449263. The reversal of 2674449252 is 2529444762.

It is a junction number, because it is equal to n+sod(n) for n = 2674449198 and 2674449207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2226252 + ... + 2227452.

Almost surely, 22674449252 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 2674449252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675235200).

2674449252 is an abundant number, since it is smaller than the sum of its proper divisors (4676021148).

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

2674449252 is a wasteful number, since it uses less digits than its factorization.

2674449252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1314 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2674449252 is about 51715.0776079859. The cubic root of 2674449252 is about 1388.0702742728.

The spelling of 2674449252 in words is "two billion, six hundred seventy-four million, four hundred forty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 79 81 87 108 116 158 162 174 237 243 261 316 324 348 474 486 522 711 783 948 972 1044 1201 1422 1566 2133 2291 2349 2402 2844 3132 3603 4266 4582 4698 4804 6399 6873 7047 7206 8532 9164 9396 10809 12798 13746 14094 14412 19197 20619 21618 25596 27492 28188 32427 34829 38394 41238 43236 61857 64854 69658 76788 82476 94879 97281 104487 123714 129708 139316 185571 189758 194562 208974 247428 284637 291843 313461 371142 379516 389124 417948 556713 569274 583686 626922 742284 853911 940383 1113426 1138548 1167372 1253844 1707822 1880766 2226852 2561733 2751491 2821149 3415644 3761532 5123466 5502982 5642298 7685199 8254473 8463447 10246932 11005964 11284596 15370398 16508946 16926894 23055597 24763419 30740796 33017892 33853788 46111194 49526838 74290257 92222388 99053676 148580514 222870771 297161028 445741542 668612313 891483084 1337224626 2674449252