Search a number
-
+
993977152 = 2672316957
BaseRepresentation
bin111011001111101…
…110001101000000
32120021100021022121
4323033232031000
54013424232102
6242344214024
733426444400
oct7317561500
92507307277
10993977152
1147008a823
12238a6a314
1312ac0b97c
1496020800
155c3e1b37
hex3b3ee340

993977152 has 42 divisors (see below), whose sum is σ = 2294458962. Its totient is φ = 425988864.

The previous prime is 993977147. The next prime is 993977167. The reversal of 993977152 is 251779399.

It can be written as a sum of positive squares in only one way, i.e., 660695616 + 333281536 = 25704^2 + 18256^2 .

It is a super-2 number, since 2×9939771522 = 1975981157396062208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 993977152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155343 + ... + 161614.

Almost surely, 2993977152 is an apocalyptic number.

It is an amenable number.

993977152 is an abundant number, since it is smaller than the sum of its proper divisors (1300481810).

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

993977152 is a wasteful number, since it uses less digits than its factorization.

993977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316983 (or 316966 counting only the distinct ones).

The product of its digits is 1071630, while the sum is 52.

The square root of 993977152 is about 31527.4031915094. The cubic root of 993977152 is about 997.9883399374.

The spelling of 993977152 in words is "nine hundred ninety-three million, nine hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 316957 633914 1267828 2218699 2535656 4437398 5071312 8874796 10142624 15530893 17749592 20285248 31061786 35499184 62123572 70998368 124247144 141996736 248494288 496988576 993977152