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19961952 = 253269773
BaseRepresentation
bin100110000100…
…1100001100000
31101120011122120
41030021201200
520102240302
61551504240
7331450053
oct114114140
941504576
1019961952
11102a478a
126828080
13419c00a
142918a9a
151b449bc
hex1309860

19961952 has 48 divisors (see below), whose sum is σ = 52662960. Its totient is φ = 6620672.

The previous prime is 19961941. The next prime is 19961969. The reversal of 19961952 is 25916991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25438 + ... + 26210.

It is an arithmetic number, because the mean of its divisors is an integer number (1097145).

Almost surely, 219961952 is an apocalyptic number.

19961952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19961952 is an abundant number, since it is smaller than the sum of its proper divisors (32701008).

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

19961952 is a wasteful number, since it uses less digits than its factorization.

19961952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its digits is 43740, while the sum is 42.

The square root of 19961952 is about 4467.8800341997. The cubic root of 19961952 is about 271.2695221213.

The spelling of 19961952 in words is "nineteen million, nine hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 773 807 1076 1546 1614 2152 2319 3092 3228 4304 4638 6184 6456 8608 9276 12368 12912 18552 24736 25824 37104 74208 207937 415874 623811 831748 1247622 1663496 2495244 3326992 4990488 6653984 9980976 19961952