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61382958 = 23713196197
BaseRepresentation
bin1110101000101…
…0000100101110
311021111120120220
43222022010232
5111203223313
610031352210
71343514030
oct352120456
9137446526
1061382958
1131715a1a
1218682666
13c9425a0
14821bc50
1555c7823
hex3a8a12e

61382958 has 128 divisors (see below), whose sum is σ = 163322880. Its totient is φ = 14929920.

The previous prime is 61382927. The next prime is 61382969. The reversal of 61382958 is 85928316.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632766 + ... + 632862.

It is an arithmetic number, because the mean of its divisors is an integer number (1275960).

Almost surely, 261382958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61382958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81661440).

61382958 is an abundant number, since it is smaller than the sum of its proper divisors (101939922).

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

61382958 is a wasteful number, since it uses less digits than its factorization.

61382958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202.

The product of its digits is 103680, while the sum is 42.

The square root of 61382958 is about 7834.7276915027. The cubic root of 61382958 is about 394.4717780496.

The spelling of 61382958 in words is "sixty-one million, three hundred eighty-two thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 61 78 91 97 114 122 133 182 183 194 247 266 273 291 366 399 427 494 546 582 679 741 793 798 854 1159 1261 1281 1358 1482 1586 1729 1843 2037 2318 2379 2522 2562 3458 3477 3686 3783 4074 4758 5187 5529 5551 5917 6954 7566 8113 8827 10374 11058 11102 11834 12901 15067 16226 16653 17654 17751 23959 24339 25802 26481 30134 33306 35502 38703 41419 45201 47918 48678 52962 71877 76921 77406 82838 90402 105469 112423 124257 143754 153842 167713 210938 224846 230763 248514 316407 335426 337269 461526 503139 538447 632814 674538 786961 1006278 1076894 1461499 1573922 1615341 2360883 2922998 3230682 4384497 4721766 8768994 10230493 20460986 30691479 61382958