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961898364 = 2232723672477
BaseRepresentation
bin111001010101010…
…110011101111100
32111000222111111100
4321111112131330
53432221221424
6235240453100
732560000260
oct7125263574
92430874440
10961898364
11453a6a529
1222a17a190
1312438973b
1491a700a0
15596a6dc9
hex3955677c

961898364 has 144 divisors (see below), whose sum is σ = 2944101888. Its totient is φ = 258850944.

The previous prime is 961898359. The next prime is 961898393. The reversal of 961898364 is 463898169.

It is a self number, because there is not a number n which added to its sum of digits gives 961898364.

It is a congruent number.

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, 387094 + ... + 389570.

It is an arithmetic number, because the mean of its divisors is an integer number (20445152).

Almost surely, 2961898364 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 961898364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472050944).

961898364 is an abundant number, since it is smaller than the sum of its proper divisors (1982203524).

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

961898364 is a wasteful number, since it uses less digits than its factorization.

961898364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2579 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 961898364 is about 31014.4863571848. The cubic root of 961898364 is about 987.1346471762.

The spelling of 961898364 in words is "nine hundred sixty-one million, eight hundred ninety-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 67 69 84 92 126 134 138 161 201 207 252 268 276 322 402 414 469 483 603 644 804 828 938 966 1206 1407 1449 1541 1876 1932 2412 2477 2814 2898 3082 4221 4623 4954 5628 5796 6164 7431 8442 9246 9908 10787 13869 14862 16884 17339 18492 21574 22293 27738 29724 32361 34678 43148 44586 52017 55476 56971 64722 69356 89172 97083 104034 113942 129444 156051 165959 170913 194166 208068 227884 312102 331918 341826 388332 398797 497877 512739 624204 663836 683652 797594 995754 1025478 1161713 1196391 1493631 1595188 1991508 2050956 2323426 2392782 2987262 3485139 3589173 3817057 4646852 4785564 5974524 6970278 7178346 7634114 10455417 11451171 13940556 14356692 15268228 20910834 22902342 26719399 34353513 41821668 45804684 53438798 68707026 80158197 106877596 137414052 160316394 240474591 320632788 480949182 961898364