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2149353948 = 2237197917047
BaseRepresentation
bin1000000000011100…
…1000100111011100
312112210101111022210
42000013020213130
513400213311243
6553140040420
7104156131020
oct20007104734
95483344283
102149353948
11a03288485
124bb993110
132833ab191
14165656380
15c8a65933
hex801c89dc

2149353948 has 96 divisors (see below), whose sum is σ = 6110003200. Its totient is φ = 574382016.

The previous prime is 2149353919. The next prime is 2149353977. The reversal of 2149353948 is 8493539412.

It is an interprime number because it is at equal distance from previous prime (2149353919) and next prime (2149353977).

It is a junction number, because it is equal to n+sod(n) for n = 2149353897 and 2149353906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117561 + ... + 134607.

Almost surely, 22149353948 is an apocalyptic number.

2149353948 is a gapful number since it is divisible by the number (28) 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 2149353948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055001600).

2149353948 is an abundant number, since it is smaller than the sum of its proper divisors (3960649252).

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

2149353948 is a wasteful number, since it uses less digits than its factorization.

2149353948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17159 (or 17157 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 2149353948 is about 46361.1253961765. The cubic root of 2149353948 is about 1290.5335909269.

The spelling of 2149353948 in words is "two billion, one hundred forty-nine million, three hundred fifty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 79 84 114 133 158 228 237 266 316 399 474 532 553 798 948 1106 1501 1596 1659 2212 3002 3318 4503 6004 6636 9006 10507 17047 18012 21014 31521 34094 42028 51141 63042 68188 102282 119329 126084 204564 238658 323893 357987 477316 647786 715974 971679 1295572 1346713 1431948 1943358 2267251 2693426 3886716 4040139 4534502 5386852 6801753 8080278 9069004 9426991 13603506 16160556 18853982 25587547 27207012 28280973 37707964 51175094 56561946 76762641 102350188 113123892 153525282 179112829 307050564 358225658 537338487 716451316 1074676974 2149353948