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1077195952 = 24729418089
BaseRepresentation
bin100000000110100…
…1011010010110000
32210001221020001101
41000031023102300
54201230232302
6254520014144
735460004660
oct10015132260
92701836041
101077195952
1150305a298
12260901354
13142228171
14a30c41a0
156487e287
hex4034b4b0

1077195952 has 80 divisors (see below), whose sum is σ = 2527963200. Its totient is φ = 434810880.

The previous prime is 1077195949. The next prime is 1077195953. The reversal of 1077195952 is 2595917701.

It is a super-2 number, since 2×10771959522 = 2320702238010372608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077195953) 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 15 ways as a sum of consecutive naturals, for example, 129124 + ... + 137212.

It is an arithmetic number, because the mean of its divisors is an integer number (31599540).

Almost surely, 21077195952 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 1077195952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263981600).

1077195952 is an abundant number, since it is smaller than the sum of its proper divisors (1450767248).

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

1077195952 is a wasteful number, since it uses less digits than its factorization.

1077195952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8174 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 46.

The square root of 1077195952 is about 32820.6634911606. The cubic root of 1077195952 is about 1025.0968623909.

The spelling of 1077195952 in words is "one billion, seventy-seven million, one hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 41 56 58 82 112 116 164 203 232 287 328 406 464 574 656 812 1148 1189 1624 2296 2378 3248 4592 4756 8089 8323 9512 16178 16646 19024 32356 33292 56623 64712 66584 113246 129424 133168 226492 234581 331649 452984 469162 663298 905968 938324 1326596 1642067 1876648 2321543 2653192 3284134 3753296 4643086 5306384 6568268 9286172 9617821 13136536 18572344 19235642 26273072 37144688 38471284 67324747 76942568 134649494 153885136 269298988 538597976 1077195952