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91045948 = 227171910067
BaseRepresentation
bin1010110110101…
…00000000111100
320100022121120011
411123110000330
5141301432243
613011233004
72153610040
oct533240074
9210277504
1091045948
1147436194
12265a8764
1315b2a056
14c140020
157ed689d
hex56d403c

91045948 has 48 divisors (see below), whose sum is σ = 202970880. Its totient is φ = 34788096.

The previous prime is 91045939. The next prime is 91045957. The reversal of 91045948 is 84954019.

It is an interprime number because it is at equal distance from previous prime (91045939) and next prime (91045957).

It is a self number, because there is not a number n which added to its sum of digits gives 91045948.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4011 + ... + 14077.

It is an arithmetic number, because the mean of its divisors is an integer number (4228560).

Almost surely, 291045948 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 91045948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101485440).

91045948 is an abundant number, since it is smaller than the sum of its proper divisors (111924932).

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

91045948 is a wasteful number, since it uses less digits than its factorization.

91045948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10114 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 91045948 is about 9541.8000398248. The cubic root of 91045948 is about 449.8698356041.

The spelling of 91045948 in words is "ninety-one million, forty-five thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 2261 4522 9044 10067 20134 40268 70469 140938 171139 191273 281876 342278 382546 684556 765092 1197973 1338911 2395946 2677822 3251641 4791892 5355644 6503282 13006564 22761487 45522974 91045948